Build fractions from unit fractions

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4th Grade Math › Build fractions from unit fractions

Questions 1 - 10

A baker used $\frac{4}{8}$ of a package of sprinkles and $\frac{6}{8}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

$\frac{2}{8}$

$\frac{3}{8}$

$\frac{4}{8}$

$\frac{5}{8}$

$\frac{6}{8}$

Explanation

The phrase, "how much more" tells as that we want to find the difference, so we subtract.

$\frac{6}{8}-\frac{4}{8}=\frac{2}{8}$

2 8

On Thursday it snowed $\frac{2}{12}$ of an inch in the afternoon and $\frac{1}{12}$ of an inch in the evening. What was the total amount of snowfall on Thursday?

$\frac{3}{12}$

$\frac{4}{12}$

$\frac{5}{12}$

$\frac{6}{12}$

$\frac{7}{12}$

Explanation

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

$\frac{2}{12}+\frac{1}{12}=\frac{3}{12}$

3 12

$8\times\frac{1}{7}=$

$\frac{8}{7}=1\frac{1}{7}$

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

$\frac{6}{7}$

$\frac{5}{7}$

$\frac{4}{7}$

Explanation

$8\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ eight times.

On our number line, we can make jumps of $\frac{1}{7}$

8 7 number line

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

$\frac{3}{7}$

$\frac{2}{7}$

$\frac{1}{7}$

$\frac{4}{7}$

$\frac{5}{7}$

Explanation

$3\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ three times.

On our number line, we can make jumps of $\frac{1}{7}$

3 7 number line

$2\times\frac{1}{7}=$

$\frac{2}{7}$

$\frac{3}{7}$

$\frac{4}{7}$

$\frac{5}{7}$

$\frac{6}{7}$

Explanation

$2\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ two times.

On our number line, we can make jumps of $\frac{1}{7}$

2 7 number line

Andy is having a party. If each person at a party will eat $\frac{2}{7}$ of a pound of peanuts, and there will be people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between.

and

Explanation

$\frac{5}{1}\times\frac{2}{7}=\frac{10}{7}$

$\frac{10}{7}=1\frac{3}{7}$ because can go into one time, with left over.

$1\frac{3}{7}$ is between the whole numbers and .

$14\times\frac{1}{7}=$

$\frac{14}{7}=2$

$\frac{13}{7}=1\frac{6}{7}$

$\frac{12}{7}=1\frac{5}{7}$

$\frac{11}{7}=1\frac{4}{7}$

$\frac{10}{7}=1\frac{3}{7}$

Explanation

$14\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ fourteen times.

On our number line, we can make jumps of $\frac{1}{7}$

14 7 number line

$29\frac{5}{13}-8\frac{2}{13}$

$21\frac{3}{13}$

$22\frac{3}{13}$

$23\frac{3}{13}$

$21\frac{7}{13}$

$22\frac{7}{13}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

and

Explanation

$\frac{5}{1}\times\frac{2}{7}=\frac{10}{7}$

$\frac{10}{7}=1\frac{3}{7}$ because can go into one time, with left over.

$1\frac{3}{7}$ is between the whole numbers and .

A baker used $\frac{4}{8}$ of a package of sprinkles and $\frac{6}{8}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

$\frac{2}{8}$

$\frac{3}{8}$

$\frac{4}{8}$

$\frac{5}{8}$

$\frac{6}{8}$

Explanation

The phrase, "how much more" tells as that we want to find the difference, so we subtract.

$\frac{6}{8}-\frac{4}{8}=\frac{2}{8}$

2 8

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