1.5 Division of Fractions

Question 1

Steps to using reciprocal of the divisor

Answer 1

Reciprocal of the Divisor

Step 1 Write the given problem.
3/5 ÷ 4/7 =

Step 2 Rewrite with the reciprocal of the divisor = 3/5 x 7/4
Step 3 Multiply the numerators and the denominators. = 3/5 x 7/4
Step 4 Calculate the quotient.
= 21/20
Step 5 Write as a mixed number.
21 ÷ 20 is 1 remainder 1. 1 1/20

Question 2

Calculate the quotient of 1/2 [divided by] 1/4 using bar model.

Answer 2

Question 3

Calculate the quotient of 1/2 [divided by] 1/4 using rectangular model.

Answer 3

Question 4

Calculate the quotient of 1/2 [divided by] 1/4 using line model.

Answer 4

Question 5

Word Problems

Answer 5

When determining how to solve a word problem, look for clues in the problem that will let you know what the dividend is and what the divisor is so that you can set the division problem correctly.

Question 6

To get the reciprocal of a fraction, you flip the fraction. What does flip mean?

Answer 6

This means the numerator [top] and denominator [bottom] change locations.