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Pleasee helppp meee .

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User Rubenfa
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Answer:

Ratio of homework papers to exit tickets

Mr. Rowley: 8/7

Ms. Rivera: 16/15

These ratios are not equal

8/7 > 16/15

Explanation:

Ratio of homework papers to exit tickets

Mr. Rowley: 16:14

Expressed as a fraction this is

(16)/(14)


Let's simplify the fraction by dividing numerator and denominator by 2. This is essentially dividing by 1 since 2/2 =1 so the fractional value itself is unchanged.



(16 / 2)/(14 / 2) = (8)/(7)

Ms. Rivera: 64:60
Expressed as fraction this is

(64)/(60)

Let's simplify the fraction by dividing numerator and denominator by 2

(64 / 2)/(60 / 2) = (32)/(30)

This can be simplified further by dividing again by 2:

(32 / 2)/(30 / 2) = (16)/(15)

(We could have divided by 4 the first time also)


(8)/(7)
\mathrm {\;is\;\bold{not\; equal\;} to\; }
(16)/(15)

We can see that if we multiply both fractions by 105 which is the product of the denominators


(8)/(7) * 105 = 8 * 15 = 120 \rm \;\;\;\;{ (since 105 / 7 = 15)}\\\\(16)/(15) * 105 = 16 * 7 = 112 \rm \;\;\;\;{ (since 105 / 15 = 7)}\\\\\\

Since we are multiplying both fractions by the same amount to get rid of the denominator it is easy to see which one is bigger

Obviously 8/7 is bigger than 16/15

We could have converted to decimal also and checked
8/7 = 1.14 rounded to 2 decimal places
16/15 = 1.07 rounded to 2 decimal places

1.14 > 1.07 so 8/7 > 16/15

(You can choose which of the above methods you like)


User Daniel Lerch
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