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

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.

Turn and Talk

How do the values of $$\frac{9}{9}$$ and $$\frac{5}{5}$$ compare?
$$\frac{9}{9}$$ 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?
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.

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.

Explanation:
$$\frac{5}{1}$$ = 5
So, we will shade  circles towards [including B]

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

Explanation:
$$\frac{7}{1}$$ = 7
So, we will shade 7 circles towards [including C]

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

Explanation:
$$\frac{6}{1}$$ = 6
So, we will shade 6 circles towards [including D]

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

Explanation:
$$\frac{7}{1}$$ = 7
So, we will shade 7 circles towards [including E]

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

Explanation:
$$\frac{6}{1}$$ = 6
So, we will shade 6 circles towards [including F]

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

Explanation:
$$\frac{2}{1}$$ = 2
So, we will shade 2 circles towards [including G]

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

Explanation:
$$\frac{5}{1}$$ = 5
So, we will shade 5 circles towards [including H]

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

Explanation:
$$\frac{4}{4}$$ = 1
So, we will shade 1 circle towards [including I]

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
$$\frac{3}{3}$$ = 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
$$\frac{6}{6}$$ = 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.

$$\frac{3}{6}$$
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.

$$\frac{7}{8}$$
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.

$$\frac{3}{4}$$
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.

$$\frac{1}{3}$$
Explanation:
The whole is divided into 1 equal parts, 3 parts are shaded.
So, the fraction for shaded part is $$\frac{1}{3}$$

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

Question 7.

$$\frac{3}{6}$$
Explanation:
Fraction for shaded and unshaded parts = $$\frac{3}{6}$$

Question 8.

shaded $$\frac{5}{6}$$
unshaded $$\frac{1}{6}$$
Fraction for shaded parts = $$\frac{5}{6}$$
Fraction for unshaded parts = $$\frac{1}{6}$$