Question

What is The equivalent rational number for -15/36 with denominator 12 and numerator -75​

Answer 1

Answer:

Hence, for the rational number \[\dfrac{-15}{36}\] , 180 is the equivalent denominator if the numerator is -75.

Answer 2

Answer:

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CBSE

Mathematics

Grade 7

Operations on Rational Numbers

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In the equivalent rational number for −1536

with numerator -75, find the denominator.

Answer

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Hint: In this question, we have a rational number and we have to find the equivalent denominator if the numerator is -75. Divide by -15 in -75, we get 5. So, multiply by 5 in both numerator and denominator and solve further.

Complete step-by-step solution -

According to the question we have a rational number −1536

. Rational number is of the form pq

, where q should not be equal to zero that is, q≠0

.

Now, we have to find the denominator equivalent if the numerator is -75.

Finding the constant term which is to be multiplied in the numerator of the rational number −1536

to get -75.

Dividing by -15 in -75, we get

−75−15=5

Now, multiplying by 5 in the numerator and denominator of the rational number −1536

, we get

−15×536×5

…………(1)

We know that −15×5=−75

and 36×5=180

.

Now, putting −15×5=−75

and 36×5=180

in equation (1), we get

−15×536×5=−75180

Step-by-step explanation:

is the equivalent denominator if the numerator is -75.

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