We included **HMH Into Math Grade 4 Answer Key PDF** **Module 15 Add and Subtract Fractions and Mixed Numbers with Like Denominators **to make students experts in learning maths.

## HMH Into Math Grade 4 Module 15 Answer Key Add and Subtract Fractions and Mixed Numbers with Like Denominators

**What is the Hidden Picture?**

Follow the directions to reveal a picture. Some circles will be shaded more than once.

Answer:

**Turn and Talk**

How do the values of \(\frac{9}{9}\) and \(\frac{5}{5}\) compare?

Answer:

\(\frac{9}{9}\) x \(\frac{5}{5}\) = \(\frac{5}{5}\) x \(\frac{9}{9}\)

\(\frac{45}{45}\) = \(\frac{45}{45}\)

1 = 1

What is the difference between a fraction that has a denominator of 1 and a fraction with a denominator that is the same as the numerator?

Answer:

A fraction with denominator 1 is a whole number which cannot be simplified further more

A fraction with denominator same as numerator means it is a whole

when we simplify the fraction we get 1 as the answer.

Shade \(\frac{9}{9}\) of the row labeled A.

Answer:

Explanation:

\(\frac{9}{9}\) = 1

So we have to shade the whole row labeled A

Starting at B, shade \(\frac{5}{1}\) circles going down.

Answer:

Explanation:

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

So, we will shade circles towards [including B]

Starting at C, shade \(\frac{7}{1}\) circles going right.

Answer:

Explanation:

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

So, we will shade 7 circles towards [including C]

Starting at D, shade \(\frac{6}{1}\) circles going up.

Answer:

Explanation:

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

So, we will shade 6 circles towards [including D]

Starting at E, shade \(\frac{7}{1}\) circles going left.

Answer:

Explanation:

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

So, we will shade 7 circles towards [including E]

Starting at F, shade \(\frac{6}{1}\) circles going up.

Answer:

Explanation:

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

So, we will shade 6 circles towards [including F]

Starting at G, shade \(\frac{2}{1}\) circles going right.

Answer:

Explanation:

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

So, we will shade 2 circles towards [including G]

Starting at H, shade \(\frac{5}{1}\) circles going left.

Answer:

Explanation:

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

So, we will shade 5 circles towards [including H]

Starting at I, shade \(\frac{4}{4}\) circles.

Answer:

Explanation:

\(\frac{4}{4}\) = 1

So, we will shade 1 circle towards [including I]

**Are You Ready?**

Complete these problems to review prior concepts and skills you will need for this module.

**Fractions Equal to 1**

Write a fraction that names the whole.

Question 1.

_________ = 1 whole

Answer:

\(\frac{3}{3}\) = 1 whole

Explanation:

The given whole is divided into 3 equal parts,

all parts are shaded, it is expressed in fraction as \(\frac{3}{3}\) = 1 whole

Question 2.

_________ = 1 whole

Answer:

\(\frac{6}{6}\) = 1 whole

Explanation:

The given whole is divided into 6 equal parts,

all parts are shaded, it is expressed in fraction as \(\frac{6}{6}\) = 1 whole

**Fractions of a Whole**

Write a fraction for the shaded part.

Question 3.

Answer:

\(\frac{3}{6}\)

Explanation:

The whole is divided into 6 equal parts, 3 parts are shaded.

So, the fraction for shaded part is \(\frac{3}{6}\)

Question 4.

Answer:

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

Explanation:

The whole is divided into 8 equal parts, 7 parts are shaded.

So, the fraction for shaded part is \(\frac{7}{8}\)

Question 5.

Answer:

\(\frac{3}{4}\)

Explanation:

The whole is divided into 4 equal parts, 3 parts are shaded.

So, the fraction for shaded part is \(\frac{3}{4}\)

Question 6.

Answer:

\(\frac{1}{3}\)

Explanation:

The whole is divided into 1 equal parts, 3 parts are shaded.

So, the fraction for shaded part is \(\frac{1}{3}\)

**Read and Write Fractions**

Write a fraction for the shaded part. Write a fraction for the unshaded part.

Question 7.

shaded: ___________

unshaded: ___________

Answer:

\(\frac{3}{6}\)

Explanation:

Total there are 6, 3 are shaded and 3 are unshaded.

Fraction for shaded and unshaded parts = \(\frac{3}{6}\)

Question 8.

shaded: ___________

unshaded: ___________

Answer:

shaded \(\frac{5}{6}\)

unshaded \(\frac{1}{6}\)

Explanation:

The whole is divided into 6 equal parts, 5 are shaded and 1 is unshaded.

Fraction for shaded parts = \(\frac{5}{6}\)

Fraction for unshaded parts = \(\frac{1}{6}\)