Fractions - TACHS Math

Card 1 of 20

0

Didn't Know

0

Didn't Know

Knew It

0

1 of 2019 left

Question

What is the value of $\frac{3}{4 }$+\frac{1}{2}$-$\frac{2}{3}$ ?

Tap to reveal answer

Answer

Start with finding the value of $\frac{3}{4 }$+\frac{1}{2}$ .

In order to add fractions with different denominators, we will need to change one or both denominators first. Notice that is a factor of , which means we can multiply the numerator and the denominator of $\frac{1}{2}$ by to get $\frac{2}{4}$ .

Now, add the two fractions together as they have the same denominator.

$\frac{3}{4}$+\frac{1}{2}$=\frac{3}{4}$+\frac{2}{4}$=\frac{5}{4}$

Next, solve $\frac{5}{4}$-$\frac{2}{3}$ .

The least common multiple of and is .

Thus, $\frac{5}{4}$-$\frac{2}{3}$=\frac{15}{12}$-$\frac{8}{12}$=\frac{7}{12}$

← Didn't Know|Knew It →

Question

Janice's car can travel miles on one gallon of gas. Her car can normally hold gallons of gas, but it is only $\frac{2}{3}$ full. How many miles can Janice travel before the tank is empty?

Tap to reveal answer

Answer

Start by finding out how many gallons is currently in Janice's tank.

Since it is only $\frac{2}{3}$ full,

$$\frac{2}{3}$\times 15=10$ .

The tank only has gallons in it right now. Multiply this by the number of miles traveled per gallon to find how far Janice can travel before the tank is empty.

$10 \times 30 = 300$

← Didn't Know|Knew It →

Question

Paul can type words per minute. If Josie can type faster than Paul can, how many words can Josie type in minutes?

Tap to reveal answer

Answer

Start by finding out Josie's typing rate.

Since she types faster, we can find her rate with the following equation:

Since Josie types at words per minute, we can multiply by the total number of given minutes to find out how many words she can type in the given time frame.

$69 \times 15=1035$

← Didn't Know|Knew It →

Question

What is the product of $\frac{5}{6}$ and $\frac{3}{8}$ ?

Tap to reveal answer

Answer

Since the question asks for the product, you will need to multiply the two fractions. Recall that in multiplying two fractions, you will multiply the numerators together and then multiply the denominators together.

$\frac{5}{6}$\times $\frac{3}{8}$=\frac{15}{48}$

Next, reduce the fraction.

$\frac{15}{48}$=\frac{5}{16}$

← Didn't Know|Knew It →

Question

What is the difference between $\frac{11}{12}$ and $\frac{3}{4}$ ?

Tap to reveal answer

Answer

Since the question asks you to find the difference, you will need to subtract the two fractions:

$\frac{11}{12}$-$\frac{3}{4}$

Start by making both denominators the same. Multiply the numerator and denominator of $\frac{3}{4}$ by to get $\frac{9}{12}$ .

Now, subtract.

$\frac{11}{12}$-$\frac{3}{4}$=\frac{11}{12}$-$\frac{9}{12}$=\frac{2}{12}$

Make sure to simplify the answer.

$\frac{2}{12}$=\frac{1}{6}$

← Didn't Know|Knew It →

Question

What is the value of $\frac{3}{4 }$+\frac{1}{2}$-$\frac{2}{3}$ ?

Tap to reveal answer

Answer

Start with finding the value of $\frac{3}{4 }$+\frac{1}{2}$ .

In order to add fractions with different denominators, we will need to change one or both denominators first. Notice that is a factor of , which means we can multiply the numerator and the denominator of $\frac{1}{2}$ by to get $\frac{2}{4}$ .

Now, add the two fractions together as they have the same denominator.

$\frac{3}{4}$+\frac{1}{2}$=\frac{3}{4}$+\frac{2}{4}$=\frac{5}{4}$

Next, solve $\frac{5}{4}$-$\frac{2}{3}$ .

The least common multiple of and is .

Thus, $\frac{5}{4}$-$\frac{2}{3}$=\frac{15}{12}$-$\frac{8}{12}$=\frac{7}{12}$

← Didn't Know|Knew It →

Question

Janice's car can travel miles on one gallon of gas. Her car can normally hold gallons of gas, but it is only $\frac{2}{3}$ full. How many miles can Janice travel before the tank is empty?

Tap to reveal answer

Answer

Start by finding out how many gallons is currently in Janice's tank.

Since it is only $\frac{2}{3}$ full,

$$\frac{2}{3}$\times 15=10$ .

The tank only has gallons in it right now. Multiply this by the number of miles traveled per gallon to find how far Janice can travel before the tank is empty.

$10 \times 30 = 300$

← Didn't Know|Knew It →

Question

Paul can type words per minute. If Josie can type faster than Paul can, how many words can Josie type in minutes?

Tap to reveal answer

Answer

Start by finding out Josie's typing rate.

Since she types faster, we can find her rate with the following equation:

Since Josie types at words per minute, we can multiply by the total number of given minutes to find out how many words she can type in the given time frame.

$69 \times 15=1035$

← Didn't Know|Knew It →

Question

What is the product of $\frac{5}{6}$ and $\frac{3}{8}$ ?

Tap to reveal answer

Answer

Since the question asks for the product, you will need to multiply the two fractions. Recall that in multiplying two fractions, you will multiply the numerators together and then multiply the denominators together.

$\frac{5}{6}$\times $\frac{3}{8}$=\frac{15}{48}$

Next, reduce the fraction.

$\frac{15}{48}$=\frac{5}{16}$

← Didn't Know|Knew It →

Question

What is the difference between $\frac{11}{12}$ and $\frac{3}{4}$ ?

Tap to reveal answer

Answer

Since the question asks you to find the difference, you will need to subtract the two fractions:

$\frac{11}{12}$-$\frac{3}{4}$

Start by making both denominators the same. Multiply the numerator and denominator of $\frac{3}{4}$ by to get $\frac{9}{12}$ .

Now, subtract.

$\frac{11}{12}$-$\frac{3}{4}$=\frac{11}{12}$-$\frac{9}{12}$=\frac{2}{12}$

Make sure to simplify the answer.

$\frac{2}{12}$=\frac{1}{6}$

← Didn't Know|Knew It →

Question

What is the value of $\frac{3}{4 }$+\frac{1}{2}$-$\frac{2}{3}$ ?

Tap to reveal answer

Answer

Start with finding the value of $\frac{3}{4 }$+\frac{1}{2}$ .

In order to add fractions with different denominators, we will need to change one or both denominators first. Notice that is a factor of , which means we can multiply the numerator and the denominator of $\frac{1}{2}$ by to get $\frac{2}{4}$ .

Now, add the two fractions together as they have the same denominator.

$\frac{3}{4}$+\frac{1}{2}$=\frac{3}{4}$+\frac{2}{4}$=\frac{5}{4}$

Next, solve $\frac{5}{4}$-$\frac{2}{3}$ .

The least common multiple of and is .

Thus, $\frac{5}{4}$-$\frac{2}{3}$=\frac{15}{12}$-$\frac{8}{12}$=\frac{7}{12}$

← Didn't Know|Knew It →

Question

Janice's car can travel miles on one gallon of gas. Her car can normally hold gallons of gas, but it is only $\frac{2}{3}$ full. How many miles can Janice travel before the tank is empty?

Tap to reveal answer

Answer

Start by finding out how many gallons is currently in Janice's tank.

Since it is only $\frac{2}{3}$ full,

$$\frac{2}{3}$\times 15=10$ .

The tank only has gallons in it right now. Multiply this by the number of miles traveled per gallon to find how far Janice can travel before the tank is empty.

$10 \times 30 = 300$

← Didn't Know|Knew It →

Question

Paul can type words per minute. If Josie can type faster than Paul can, how many words can Josie type in minutes?

Tap to reveal answer

Answer

Start by finding out Josie's typing rate.

Since she types faster, we can find her rate with the following equation:

Since Josie types at words per minute, we can multiply by the total number of given minutes to find out how many words she can type in the given time frame.

$69 \times 15=1035$

← Didn't Know|Knew It →

Question

What is the product of $\frac{5}{6}$ and $\frac{3}{8}$ ?

Tap to reveal answer

Answer

Since the question asks for the product, you will need to multiply the two fractions. Recall that in multiplying two fractions, you will multiply the numerators together and then multiply the denominators together.

$\frac{5}{6}$\times $\frac{3}{8}$=\frac{15}{48}$

Next, reduce the fraction.

$\frac{15}{48}$=\frac{5}{16}$

← Didn't Know|Knew It →

Question

What is the difference between $\frac{11}{12}$ and $\frac{3}{4}$ ?

Tap to reveal answer

Answer

Since the question asks you to find the difference, you will need to subtract the two fractions:

$\frac{11}{12}$-$\frac{3}{4}$

Start by making both denominators the same. Multiply the numerator and denominator of $\frac{3}{4}$ by to get $\frac{9}{12}$ .

Now, subtract.

$\frac{11}{12}$-$\frac{3}{4}$=\frac{11}{12}$-$\frac{9}{12}$=\frac{2}{12}$

Make sure to simplify the answer.

$\frac{2}{12}$=\frac{1}{6}$

← Didn't Know|Knew It →

Question

What is the value of $\frac{3}{4 }$+\frac{1}{2}$-$\frac{2}{3}$ ?

Tap to reveal answer

Answer

Start with finding the value of $\frac{3}{4 }$+\frac{1}{2}$ .

In order to add fractions with different denominators, we will need to change one or both denominators first. Notice that is a factor of , which means we can multiply the numerator and the denominator of $\frac{1}{2}$ by to get $\frac{2}{4}$ .

Now, add the two fractions together as they have the same denominator.

$\frac{3}{4}$+\frac{1}{2}$=\frac{3}{4}$+\frac{2}{4}$=\frac{5}{4}$

Next, solve $\frac{5}{4}$-$\frac{2}{3}$ .

The least common multiple of and is .

Thus, $\frac{5}{4}$-$\frac{2}{3}$=\frac{15}{12}$-$\frac{8}{12}$=\frac{7}{12}$

← Didn't Know|Knew It →

Question

Janice's car can travel miles on one gallon of gas. Her car can normally hold gallons of gas, but it is only $\frac{2}{3}$ full. How many miles can Janice travel before the tank is empty?

Tap to reveal answer

Answer

Start by finding out how many gallons is currently in Janice's tank.

Since it is only $\frac{2}{3}$ full,

$$\frac{2}{3}$\times 15=10$ .

The tank only has gallons in it right now. Multiply this by the number of miles traveled per gallon to find how far Janice can travel before the tank is empty.

$10 \times 30 = 300$

← Didn't Know|Knew It →

Question

Paul can type words per minute. If Josie can type faster than Paul can, how many words can Josie type in minutes?

Tap to reveal answer

Answer

Start by finding out Josie's typing rate.

Since she types faster, we can find her rate with the following equation:

Since Josie types at words per minute, we can multiply by the total number of given minutes to find out how many words she can type in the given time frame.

$69 \times 15=1035$

← Didn't Know|Knew It →

Question

What is the product of $\frac{5}{6}$ and $\frac{3}{8}$ ?

Tap to reveal answer

Answer

Since the question asks for the product, you will need to multiply the two fractions. Recall that in multiplying two fractions, you will multiply the numerators together and then multiply the denominators together.

$\frac{5}{6}$\times $\frac{3}{8}$=\frac{15}{48}$

Next, reduce the fraction.

$\frac{15}{48}$=\frac{5}{16}$

← Didn't Know|Knew It →

Question

What is the difference between $\frac{11}{12}$ and $\frac{3}{4}$ ?

Tap to reveal answer

Answer

Since the question asks you to find the difference, you will need to subtract the two fractions:

$\frac{11}{12}$-$\frac{3}{4}$

Start by making both denominators the same. Multiply the numerator and denominator of $\frac{3}{4}$ by to get $\frac{9}{12}$ .

Now, subtract.

$\frac{11}{12}$-$\frac{3}{4}$=\frac{11}{12}$-$\frac{9}{12}$=\frac{2}{12}$

Make sure to simplify the answer.

$\frac{2}{12}$=\frac{1}{6}$

← Didn't Know|Knew It →

0

Knew It