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Do the ratios 19/8 and 5/4 form a proportion?

User Eric Urban
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2 Answers

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Answer:

no

Step-by-step explanation:

because they are not equivalent to each other.

User Hertzel Guinness
by
8.2k points
3 votes

Answer: No, they do not form a proportion

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Step-by-step explanation:

Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"

Let's assume for now that they are. So we have 19/8 = 5/4

To check if that is a true equation, let's cross multiply

19/8 = 5/4

19*4 = 8*5

76 = 40

The last equation is not true, so the first equation is also not true. The ratios are not in proportion.

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Alternative method:

Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.

We'll multiply top and bottom by 2 to get 5/4 turning into 10/8

Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.

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2nd Alternative method:

Use your calculator to see that

19/8 = 2.375

5/4 = 1.25

The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.

User Pezholio
by
8.3k points

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