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The table shows how long it took Melinda to do her math homework each day over four days.

Table) Monday:3/4, Tuesday:5/6, Wednesday:2/3, Thursday:1/2

What is the ratio of the time it took Melinda to do her math homework on Wednesday to the time it took her to do it on Tuesday.

Please help me, I struggle with this topic in school.

User Oam Psy
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1 Answer

5 votes

Answer:

4/5

Explanation:

The question is asking you to find the ratio of Wednesday's time (2/3) to Tuesday's time (5/6). To do that, you divide the fractions:

... Wednesday / Tuesday = (2/3) / (5/6)

There are a couple of different methods you can use to divide fractions.

1. Invert the denominator and multiply.

When we invert 5/6, it becomes 6/5. So our division problem is now a multiplication problem:

... (2/3) × (6/5) = (2×6)/(3×5) = 12/15

This result can be reduced by removing a factor of 3 from numerator and denominator:

... Wednesday/Tuesday = 4/5

___

2. Make both fractions have the same denominator, then drop the denominators.

The denominators of the fractions in our ratio are 3 and 6. If we multiply 3 by 2, it becomes 6, so we can rewrite the numerator fraction as ...

... 2/3 = (2/3)×(2/2) = 4/6

Now, it has a denominator of 6 and our division problem is

... (2/3) / (5/6) = (4/6) / (5/6)

Dropping the (same) denominators gives ...

... Wednesday/Tuesday = 4/5

User Firkamon
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