Answered

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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?

Sagot :

ANSWER

13:9

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:

[tex]\frac{6.5}{4.5}[/tex]

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

[tex]4.5=4\frac{1}{2}=4+\frac{1}{2}=\frac{8+1}{2}=\frac{9}{2}[/tex]

And 6.5 hours is 6 hours and a half:

[tex]6.5=6\frac{1}{2}=6+\frac{1}{2}=\frac{12+1}{2}=\frac{13}{2}[/tex]

Now replace the decimals by the fractions:

[tex]\frac{\frac{13}{2}}{\frac{9}{2}}=\frac{13}{9}[/tex]

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

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