Decimals with Fractions - SAT Math

Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.

The best approach to this equation is to evaluate each of the equations and inequalities. The absolute value of –6 is 6, but the opposite of that value indicated by the “–“ is –6, which does not equal 6.

1/2 is 0.5, while 1/8 is 0.125 so 0.5 > 0.125.

√17 has to be slightly more than the √16, which equals 4, so“>” should be “<”.

Finally, the fraction 1/3 has repeating 3s which makes it larger than 3/10 so it is true.

Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.

1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.

1/4 * 1/5 = 1/20 = 5%

Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.

In order to estimate this fraction, set up a proportion equal to where the denominator is something of 100 parts.

Cross multiply.

Divide seven on both sides.

Rewrite the proportion.

To find the decimal, simply move the decimal place of the numerator back two spaces, and the denominator two spaces back as well.

The answer is:

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is within the division symbol.

From here, because the inside value is less than the outside value make sure to add a decimal and a zero.

Now, evaluate how many times 7 goes into 50. Since seven times seven is 49 and that is the closest values to 50 without going over, that is the first value in the decimal. From here subtract 49 from 50.

Now, evaluate how many times 7 goes into 10. In this case it is only once. Multiply one by seven and subtract this product from 10.

Now, evaluate how many times seven goes into 30. Since seven times four is 28, this is the closest value to 30 without exceeding it and thus is the value we choose.

Since all the answer choices stop at three digits we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 16 goes into 150. Since 16 times 9 is 144 and that is the closest value to 150 without going over, that is the first value in the decimal. From here subtract 144 from 150.

Now, evaluate how many times 16 goes into 60. Since 3 times 16 is 48, subtract that number from 60.

Now, evaluate how many times 16 goes into 120. Since 16 times 7 is is 112, this is the closest value to 120 without exceeding it which means it the value we need to choose.

Since all the answer choices stop at three digits we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 8 goes into 10. In this case, it is only once, so multiply 1 by 8 to get 8. From here subtract 8 from 10.

Now, evaluate how many times 8 goes into 20. Since 2 times 8 is 16, subtract that number from 20.

Now, evaluate how many times 8 goes into 40. Since 8 times 5 is is 40, this is the value we need to choose.

Since our final answer after subtracting is zero, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 23 goes into 120. In this case, since 5 times 23 is 115, this is largest number possible without exceeding 120. From here subtract 115 from 120.

Now, evaluate how many times 23 goes into 50. Since 2 times 23 is 46, subtract that number from 50.

Now, evaluate how many times 23 goes into 40, which in this case is only once. So multiply 1 times 23 to get 23, then subtract it from 40.

Since our answer choices only go to three decimal places, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 15 goes into 60. We know that 4 times 15 is 60 and can subtract accordingly.

Since subtraction gave us zero, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 44 goes into 50, which in this case is only once. So multiply 1 times 44, then subtract it from 50.

Now, evaluate how many times 44 goes into 60, which again is only once. So we multiply 1 times 44 and subtract that number from 60.

Now, evaluate how many times 44 goes into 160. Since 44 times 3 is 132, we will subtract that number from 160 because it the largest possible number without exceeding 160.

Since our answer choices only go to three decimal places, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 26 goes into 130. We know that 5 times 26 is 130 and can subtract accordingly.

Since subtraction gave us zero, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 11 goes into 90. Since, 11 time 8 is 88, which is the largest number without exceeding 90. So subtract 88 from 90.

Now, evaluate how many times 11 goes into 20, which is only once. So we multiply 1 times 11 and subtract that number from 20.

Now, evaluate how many times 11 goes into 90. Since we already know this number is 88, we will subtract that from 90 because it the largest possible number without exceeding 90.

Since our answer choices only go to three decimal places, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 24 goes into 100. We know that 24 times 4 is 96, which is the largest possible number without exceeding 100. So subtract 96 from 100.

Now, evaluate how many times 24 goes into 40, which is only once. So we multiply 1 times 24 and subtract that number from 40.

Now, evaluate how many times 24 goes into 160. Since 6 times 24 is 144, we will subtract that from 160 because it the largest possible number without exceeding 160.

Since our answer choices only go to three decimal places, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 17 goes into 80. We know that 17 times 4 is 68, which is the largest possible number without exceeding 80. So subtract 68 from 80.

Now, evaluate how many times 17 goes into 120. Since 7 times 17 is 119, subtract that number from 120.

Since 17 doesn't go into 10, we have to put a zero in after the 7 and move on to the next place. Now, evaluate how many times 17 goes into 100. Since 5 times 17 is 85, we will subtract that from 100 because it the largest possible number without exceeding 100.

Our answer choices only go to three decimal places, but we have four. So before we are done, we must round accordingly.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 5 goes into 30. We know that 5 times 6 is 30 and can subtract accordingly.

Since subtraction gave us zero, we are done.

Therefore the answer is,

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 17 goes into 30, which in this case is only once. So multiply 1 times 17, then subtract it from 30.

Now, evaluate how many times 17 goes into 130. Since 7 times 17 is 119, that is the largest number possible without exceeding 130. So we subtract that number from 130.

Now, evaluate how many times 17 goes into 110. Since 6 times 17 is 102, we will subtract that number from 110.

Since our answer choices only go to three decimal places, we are done.

Therefore the answer is,

Convert each fractions to its decimal equivalent by dividing numerator by denominator, as follows:

The number in the blank falls between 0.272 and 0.286; the only such choice is 0.28.