We included **HMH Into Math Grade 4 Answer Key PDF** **Module 14 Review **to make students experts in learning maths.

## HMH Into Math Grade 4 Module 14 Review Answer Key

**Vocabulary**

**Choose the correct term from the Vocabulary box to complete the sentence.**

Vocabulary

common denominator

common numerator

equivalent fraction

unit fraction

Question 1.

When two or more fractions have the same denominator, they have a ____________.

Answer:

Like fractions

Explanation:

When two or more fractions have the same denominator are called like fractions.

\(\frac{7}{10}\) + \(\frac{2}{10}\) = \(\frac{9}{10}\)

Question 2.

A ___________ has a numerator of 1.

Answer:

Unit fraction

Explanation:

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.

A unit fraction is therefore the reciprocal of a positive integer,

For example are 1/1, 1/2, 1/3, 1/4, 1/5, etc.

**Concepts and Skills**

**Write the fraction as the sum of unit fractions.**

Question 3.

\(\frac{2}{5}\) = ___________

Answer:

\(\frac{1}{5}\) + \(\frac{1}{5}\)

Explanation:

A fraction where the numerator is always one and denominator is an positive integer.

\(\frac{1}{5}\) + \(\frac{1}{5}\) = \(\frac{2}{5}\)

Question 4.

\(\frac{3}{10}\) = ___________

Answer:

\(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\)

Explanation:

A fraction where the numerator is always one and denominator is an positive integer.

\(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) = \(\frac{3}{10}\)

**Use Tools** Write the fraction as a sum of fractions in two different ways. Tell what strategies or tools you will use to answer the questions, explain your choices, and the find the answers.

Question 5.

\(\frac{6}{8}\) = ___________

= ___________

Answer:

\(\frac{6}{8}\) = \(\frac{4}{8}\) + \(\frac{2}{8}\)

\(\frac{6}{8}\) = \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\)

+ \(\frac{1}{8}\) + \(\frac{1}{8}\)

Explanation:

We can write the sum as unit fraction that always has 1 as its numerator,

it tells the part of each whole represents a unit fraction.

We can write a fraction as a sum by breaking a part of the numerator into addends and using the same denominators.

Question 6.

\(\frac{7}{10}\) = __________

= ___________

Answer:

\(\frac{7}{10}\) = \(\frac{4}{10}\) + \(\frac{3}{10}\)

\(\frac{7}{10}\) = \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\)

+ \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\)

Explanation:

We can write the sum as unit fraction that always has 1 as its numerator,

it tells the part of each whole represents a unit fraction.

We can write a fraction as a sum by breaking a part of the numerator into addends and using the same denominators.

**Find the sum.**

Question 7.

\(\frac{4}{12}\) + \(\frac{3}{12}\) = ___________

Answer:

\(\frac{7}{12}\)

Explanation:

We find the sum by adding the numerators and using their common denominators.

Question 8.

\(\frac{6}{10}\) + \(\frac{32}{100}\) = ____________

Answer:

\(\frac{92}{100}\)

Explanation:

Convert the tenths into hundredths by multiplying both numerator and denominator with 10.

\(\frac{6}{10}\) x \(\frac{10}{10}\) = \(\frac{60}{100}\)

We find the sum by adding the numerators and using their common denominators.

\(\frac{60}{100}\) + \(\frac{32}{100}\) = \(\frac{92}{100}\)

Question 9.

\(\frac{2}{8}\) + \(\frac{4}{8}\) + \(\frac{1}{8}\) = ___________

Answer:

\(\frac{7}{8}\)

Explanation:

We find the sum by adding the numerators and using their common denominators.

Question 10.

\(\frac{3}{10}\) + \(\frac{2}{10}\) + \(\frac{1}{10}\) = ___________

Answer:

\(\frac{6}{10}\)

Explanation:

We find the sum by adding the numerators and using their common denominators.

**Find the difference. Select the correct answer.**

Question 11.

\(\frac{7}{10}\) – \(\frac{2}{10}\)

(A) \(\frac{4}{10}\)

(B) \(\frac{5}{10}\)

(C) \(\frac{8}{10}\)

(D) \(\frac{9}{10}\)

Answer:

Option (B)

Explanation:

By subtraction the least fraction from the highest fraction we get the difference.

\(\frac{7}{10}\) – \(\frac{2}{10}\) = \(\frac{5}{10}\)

Question 12.

\(\frac{8}{12}\) – \(\frac{3}{12}\)

(A) \(\frac{5}{12}\)

(B) \(\frac{6}{12}\)

(C) \(\frac{9}{12}\)

(D) \(\frac{11}{12}\)

Answer:

Option (A)

Explanation:

By subtraction the least fraction from the highest fraction we get the difference.

\(\frac{8}{12}\) – \(\frac{3}{12}\) = \(\frac{5}{12}\)

Question 13.

Jen has \(\frac{2}{6}\) yard of pink yarn. She has \(\frac{3}{6}\) yard more white yarn than pink yarn. How much white yarn does Jen have? Describe a visual model you could use to justify your answer.

Answer:

\(\frac{5}{6}\) white yarn.

Explanation:

Jen has \(\frac{2}{6}\) yard of pink yarn.

She has \(\frac{3}{6}\) yard more white yarn than pink yarn.

\(\frac{2}{6}\) + \(\frac{3}{6}\) = \(\frac{5}{6}\)

Question 14.

Nico exercises for \(\frac{7}{12}\) hour. He spends some time running and \(\frac{4}{12}\) hour swimming. How long does he spend running?

Answer:

\(\frac{3}{12}\) hours

Explanation:

Nico exercises for \(\frac{7}{12}\) hour.

He spends \(\frac{4}{12}\) hour swimming.

Total hours he spend on running

\(\frac{7}{12}\) – \(\frac{4}{12}\) = \(\frac{3}{12}\)

Question 15.

Erica has \(\frac{6}{10}\) of a magazine left to read. After she reads some more of the magazine, she still has \(\frac{4}{10}\) left to read. What fraction of the magazine did Erica read?

Answer:

\(\frac{2}{10}\)

Explanation:

Erica has \(\frac{6}{10}\) of a magazine left to read.

After she reads some more of the magazine, she still has \(\frac{4}{10}\) left to read.

The fraction of the magazine Erica read = \(\frac{6}{10}\) – \(\frac{4}{10}\) = \(\frac{2}{10}\)

Question 16.

Select all the sums and differences that could be represented by this fraction model.

Answer:

Option B&F

Explanation:

When we add the given addends, we get the sum as

\(\frac{2}{8}\) + \(\frac{3}{8}\) = \(\frac{5}{8}\)

When we subtract the given fractions, we get the difference as

\(\frac{8}{8}\) – \(\frac{3}{8}\) = \(\frac{5}{8}\)