Word problem involving multiplication or division with mixed numbers

Question

A construction crew has just finished building a road. The road is 9

 kilometers long. If the crew worked for 4 4/5

 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.)

Write your answer as a mixed number in simplest form.

Answer 1

Hi Raine,

You will need to divide the whole number 9 by the mixed number 4 4/5.

Step 1:

Convert 9 into the improper fraction 9/1, and convert the mixed number 4 4/5 into the improper fraction 24/5.

Step 2:

Multiply 9/1 by the reciprocal of 24/5 which is 5/24.

Step 3:

Multiply 9/1 x 5/24 = 45/24 as an improper fraction.

Step 4:

Convert 45/24 into an improper fraction by dividing 45 by 24 which equals 1 21/24.

Step 5:

Simplify the fraction 21/24 by dividing the numerator and denominator each by 3 since 3 is the Greatest Common Factor (GCF) of 21 and 24.

21/24 = 7/8 when simplified.

Your final answer is 1 7/8.