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:
Eureka Math Grade 6 Module 4 Lesson 13 Example Answer Key 1

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:
Eureka Math Grade 6 Module 4 Lesson 13 Example Answer Key 2

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:
Eureka Math Grade 6 Module 4 Lesson 13 Example Answer Key 3

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 Problem Set Answer Key 4

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 \(\frac{k-4}{9}\)

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