## Engage NY Eureka Math 6th Grade Module 4 Lesson 13 Answer Key

### Eureka Math Grade 6 Module 4 Lesson 13 Example Answer Key

Example 1.

Write an expression showing 1 ÷ 2 without the use of the division symbol.

Answer:

What can we determine from the model?

Answer:

1 ÷ 2 is the same as \(\frac{1}{2}\).

Example 2.

Write an expression showing a ÷ 2 without the use of the division symbol.

Answer:

What can we determine from the model?

Answer:

a ÷ 2 is the same as \(\frac{a}{2}\).

When we write division expressions using the division symbol, we represent

Answer:

dividend ÷ divisor.

How would this look when we write division expressions using a fraction?

Answer:

Example 3

a. Write an expression showing a ÷ b without the use of the division symbol.

Answer:

\(\frac{a}{b}\)

b. Write an expression for g divided by the quantity h plus 3.

Answer:

\(\frac{g}{h+3}\)

c. Write an expression for the quotient of the quantity m reduced by 3 and 5.

Answer:

\(\frac{m-3}{5}\)

### Eureka Math Grade 6 Module 4 Lesson 13 Exercise Answer Key

Write each expression two ways: using the division symbol and as a fraction.

a. 12 divided by 4

Answer:

12 ÷ 4 and \(\frac{12}{4}\)

b. 3 divided by 5

Answer:

3÷ 5 and \(\frac{3}{5}\)

c. a divided by 4

Answer:

a ÷ 4 and \(\frac{a}{4}\)

d. The quotient of 6 and m

Answer:

6 ÷ m and \(\frac{6}{m}\)

e. Seven divided by the quantity x plus y

Answer:

7 ÷ (x + y) and \(\frac{7}{x+y}\)

f. y divided by the quantity x minus 11

Answer:

y ÷ (x – 11) and \(\frac{y}{x-11}\)

g. The sum of the quantity h and 3 divided by 4

Answer:

(h + 3) ÷ 4 and \(\frac{h+3}{4}\)

h. The quotient of the quantity k minus 10 and m

Answer:

(k – 10) ÷ m and \(\frac{k-10}{m}\)

### Eureka Math Grade 6 Module 4 Lesson 13 Problem Set Answer Key

Question 1.

Rewrite the expressions using the division symbol and as a fraction.

a. Three divided by 4

Answer:

3 ÷ 4 and \(\frac{3}{4}\)

b. The quotient of m and 11

Answer:

m ÷ 11 and \(\frac{m}{11}\)

c. 4 divided by the sum of h and 7

Answer:

4 ÷ (h + 7) and \(\frac{4}{h+7}\)

d. The quantity x minus 3 divided by y

Answer:

(x – 3) ÷ y and \(\frac{x-3}{y}\)

Question 2.

Draw a model to show that x ÷ 3 s the same as \(\frac{x}{3}\).

Answer:

### Eureka Math Grade 6 Module 4 Lesson 13 Exit Ticket Answer Key

Rewrite the expressions using the division symbol and as a fraction.

Question 1.

The quotient of m and 7

Answer:

m ÷ 7 and \(\frac{m}{7}\)

Question 2.

Five divided by the sum of a and b

Answer:

5 ÷ (a + b) and \(\frac{5}{a+b}\)

Question 3.

The quotient of k decreased by 4 and 9

Answer:

(k – 4) ÷ 9 and \(\frac{k-4}{9}\)