Question

If you spend 4.5 hours a week studying for English class and 6.5 hours studying for math what is the ratio of time spent studying in math to studying for English?

Answer 1

13:9

Step-by-step explanation

The time you spend studying each subject is:

• English: 4.5 hours

,

• Math: 6.5 hours

We want to find the ratio of math time to english time, so we have to divide the math time by the English time:

`(6.5)/(4.5)`

This is easier if we write these numbers as fractions. 4.5 hours is 4 hours and a half:

`4.5=4(1)/(2)=4+(1)/(2)=(8+1)/(2)=(9)/(2)`

And 6.5 hours is 6 hours and a half:

`6.5=6(1)/(2)=6+(1)/(2)=(12+1)/(2)=(13)/(2)`

Now replace the decimals by the fractions:

`((13)/(2))/((9)/(2))=(13)/(9)`

The ratio of time spend studying math to studying for English is 13:9