Subtraction with Fractions - Basic Math

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Question

$\frac{4}{5}-\frac{3}{7}=?$

Answer

To subtract fractions, they need to share the same denominator. To find the same denominator, you will need to find the least common multiple of the two given denominators.

The least common denominator of 5 and 7 is 35. Remember, the number you multiply the denominator by to get the least common denominator you must also multiply by the numerator.

$\frac{4}{5}\cdot \frac{7}{7}- \frac{3}{7}\cdot \frac{5}{5}$

So the original equation becomes,

$\frac{28}{35}-\frac{15}{35}$

Now, subtract the numerators.

$\frac{28}{35}-\frac{15}{35}=\frac{13}{35}$

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Question

Please choose the best answer for the question below.

Amanda has $2\frac{3}{4}$ pounds of cake leftover from her birthday. If she eats a third of a pound of cake, how much will she have left over?

Answer

To tackle this question, first convert 2 and 3/4ths into a fraction.

$2 \cdot \frac{4}{4} = \frac{8}{4}$

$\frac{8}{4} + \frac{3}{4} =\frac{11}{4}$

Then, you can subtract from :

$\frac{11}{4} - \frac{1}{3} = ?$

$\frac{11\cdot3}{4 \cdot3} + \frac{1\cdot4}{3\cdot4} = ?$

Then you convert to a mixed number for your final answer.

$2\frac{5}{12}$ .

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Question

Please choose the best answer for the question below.

If you have three pies, and someone eats one quarter of each pie, how much pie do you have left? The answers will be expressed as mixed numbers.

Answer

To find the answer for this problem, first figure out how much of each pie is left:

Then, because , you know that you have whole pies left, and a quarter besides.

$\frac{9}{4}=2\frac{1}{4}$

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Question

Subtract.

$\frac{8}{9}-\frac{1}{81}$

Answer

To subtract two fractions, they need to both share the same denominator. Since 81 is a multiple of 9, we only need to change the 1st fraction.

$\frac{8}{9}\times\frac{9}{9}=\frac{72}{81}$

Now subtract the two fractions.

$\frac{72}{81}-\frac{1}{81}=\frac{71}{81}$

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Question

Determine the answer:

$\frac{3}{4}-\frac{2}{5}=$

Answer

1. Find the least common denominator:

The lowest number that both 4 and 5 both go into is 20, making 20 the least common denominator.

2. Find the equivalent fractions using the least common denominator:

$\frac{3}{4}\times \frac{5}{5}=\frac{15}{20}$

$\frac{2}{5}\times \frac{4}{4}=\frac{8}{20}$

3. Subtract:

$\frac{15}{20}-\frac{8}{20}=\frac{7}{20}$

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Question

$\frac{5}{6} -\frac{12}{36}= ?$

Answer

To subtract fractions, they must have the same number in the denominator. Begin by simplifying $\frac{12}{36}$ so that its denominator is .

To simplify, divide the numerator and denominator by 6.

$12 \div6=2$

$36\div6=6$

$\frac{12}{36}=\frac{2}{6}$

Then, subtract:

$\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}$

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Question

Subtract these fractions:

$\frac{2}{3}-\frac{1}{2}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 2 over 2 and the second fraction by 3 over 3.

$\frac{2}{3}\frac{2}{2}=\frac{4}{6}$

$\frac{1}{2}\frac{3}{3}=\frac{3}{6}$

Subtract these fractions to get the final answer.

$\frac{4}{6}-\frac{3}{6}=\frac{1}{6}$

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Question

Subtract these fractions:

$\frac{4}{5}-\frac{1}{3}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3 and the second fraction by 5 over 5.

$\frac{4}{5}\frac{3}{3}=\frac{12}{15}$

$\frac{1}{3}\frac{5}{5}=\frac{5}{15}$

Subtract the numerators of the fractions to get the final answer.

$\frac{12}{15}-\frac{5}{15}=\frac{7}{15}$

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Question

Subtract these fractions:

$\frac{3}{7}-\frac{1}{4}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 4 over 4 and the second fraction by 7 over 7.

$\frac{3}{7}\frac{4}{4}=\frac{12}{28}$

$\frac{1}{4}\frac{7}{7}=\frac{7}{28}$

Subtract the numerators of these fractions to get the final answer.

$\frac{12}{28}-\frac{7}{28}=\frac{5}{28}$

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Question

Subtract these fractions:

$\frac{1}{8}-\frac{1}{9}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 9 over 9 and the second fraction by 8 over 8.

$\frac{1}{8}\frac{9}{9}=\frac{9}{72}$

$\frac{1}{9}\frac{8}{8}=\frac{8}{72}$

Subtract the numerators of these fractions to get the final answer.

$\frac{9}{72}-\frac{8}{72}=\frac{1}{72}$

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Question

Subtract these fractions:

$\frac{6}{7}-\frac{1}{3}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3 and the second fraction by 7 over 7.

$\frac{6}{7}\frac{3}{3}=\frac{18}{21}$

$\frac{1}{3}\frac{7}{7}=\frac{7}{21}$

Subtract the numerators of these fractions to get the final answer.

$\frac{18}{21}-\frac{7}{21}=\frac{11}{21}$

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Question

$\frac{4}{5}-\frac{3}{7}=?$

Answer

To subtract fractions, they need to share the same denominator. To find the same denominator, you will need to find the least common multiple of the two given denominators.

The least common denominator of 5 and 7 is 35. Remember, the number you multiply the denominator by to get the least common denominator you must also multiply by the numerator.

$\frac{4}{5}\cdot \frac{7}{7}- \frac{3}{7}\cdot \frac{5}{5}$

So the original equation becomes,

$\frac{28}{35}-\frac{15}{35}$

Now, subtract the numerators.

$\frac{28}{35}-\frac{15}{35}=\frac{13}{35}$

Compare your answer with the correct one above

Question

Please choose the best answer for the question below.

Amanda has $2\frac{3}{4}$ pounds of cake leftover from her birthday. If she eats a third of a pound of cake, how much will she have left over?

Answer

To tackle this question, first convert 2 and 3/4ths into a fraction.

$2 \cdot \frac{4}{4} = \frac{8}{4}$

$\frac{8}{4} + \frac{3}{4} =\frac{11}{4}$

Then, you can subtract from :

$\frac{11}{4} - \frac{1}{3} = ?$

$\frac{11\cdot3}{4 \cdot3} + \frac{1\cdot4}{3\cdot4} = ?$

Then you convert to a mixed number for your final answer.

$2\frac{5}{12}$ .

Compare your answer with the correct one above

Question

Please choose the best answer for the question below.

If you have three pies, and someone eats one quarter of each pie, how much pie do you have left? The answers will be expressed as mixed numbers.

Answer

To find the answer for this problem, first figure out how much of each pie is left:

Then, because , you know that you have whole pies left, and a quarter besides.

$\frac{9}{4}=2\frac{1}{4}$

Compare your answer with the correct one above

Question

Subtract.

$\frac{8}{9}-\frac{1}{81}$

Answer

To subtract two fractions, they need to both share the same denominator. Since 81 is a multiple of 9, we only need to change the 1st fraction.

$\frac{8}{9}\times\frac{9}{9}=\frac{72}{81}$

Now subtract the two fractions.

$\frac{72}{81}-\frac{1}{81}=\frac{71}{81}$

Compare your answer with the correct one above

Question

Determine the answer:

$\frac{3}{4}-\frac{2}{5}=$

Answer

1. Find the least common denominator:

The lowest number that both 4 and 5 both go into is 20, making 20 the least common denominator.

2. Find the equivalent fractions using the least common denominator:

$\frac{3}{4}\times \frac{5}{5}=\frac{15}{20}$

$\frac{2}{5}\times \frac{4}{4}=\frac{8}{20}$

3. Subtract:

$\frac{15}{20}-\frac{8}{20}=\frac{7}{20}$

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Question

$\frac{5}{6} -\frac{12}{36}= ?$

Answer

To subtract fractions, they must have the same number in the denominator. Begin by simplifying $\frac{12}{36}$ so that its denominator is .

To simplify, divide the numerator and denominator by 6.

$12 \div6=2$

$36\div6=6$

$\frac{12}{36}=\frac{2}{6}$

Then, subtract:

$\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}$

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Question

Subtract these fractions:

$\frac{2}{3}-\frac{1}{2}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 2 over 2 and the second fraction by 3 over 3.

$\frac{2}{3}\frac{2}{2}=\frac{4}{6}$

$\frac{1}{2}\frac{3}{3}=\frac{3}{6}$

Subtract these fractions to get the final answer.

$\frac{4}{6}-\frac{3}{6}=\frac{1}{6}$

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Question

Subtract these fractions:

$\frac{4}{5}-\frac{1}{3}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3 and the second fraction by 5 over 5.

$\frac{4}{5}\frac{3}{3}=\frac{12}{15}$

$\frac{1}{3}\frac{5}{5}=\frac{5}{15}$

Subtract the numerators of the fractions to get the final answer.

$\frac{12}{15}-\frac{5}{15}=\frac{7}{15}$

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Question

Subtract these fractions:

$\frac{3}{7}-\frac{1}{4}$

Answer

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 4 over 4 and the second fraction by 7 over 7.

$\frac{3}{7}\frac{4}{4}=\frac{12}{28}$

$\frac{1}{4}\frac{7}{7}=\frac{7}{28}$

Subtract the numerators of these fractions to get the final answer.

$\frac{12}{28}-\frac{7}{28}=\frac{5}{28}$

Compare your answer with the correct one above

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