Question

April worked 1 1/8 times longer on her math project than Carl, he worked 5 3/4, how many more hours did April work? Please show how to get answer. Thank you

Answer 1

Answer:

$\frac{23}{32}\ hours$

Step-by-step explanation:

step 1

Find out the number of hours worked by April on her math project

Multiply 1 1/8 by 5 3/4

so

$1\frac{1}{8} (5\frac{3}{4})$

Convert mixed number to an improper fraction

$1\frac{1}{8}=1+\frac{1}{8}=\frac{1*8+1}{8}=\frac{9}{8}$

$5\frac{3}{4}=5+\frac{3}{4}=\frac{5*4+3}{4}=\frac{23}{4}$

substitute

$\frac{9}{8} (\frac{23}{4})=\frac{207}{32}\ hours$

Convert to mixed number

$\frac{207}{32}=\frac{192}{32} +\frac{15}{32} =6\frac{15}{32}\ hours$

step 2

How many more hours did April work?

Subtract the hours worked by Carl from the hours worked by April

$\frac{207}{32}-\frac{23}{4}=\frac{207-8*23}{32}=\frac{23}{32}\ h$