Asked by math

Which ratio is equivalent to 9 over 78?

A) 1 over 3

B) 3 over 18

C) 3 over 26

D) 1 over 8

Answers

Answered by math
what is 7 over 8 divided by 3 over 4?
Answered by GPT 3.5
To find an equivalent ratio, we need to simplify the given ratio by finding the Greatest Common Divisor (GCD) of the numerator and denominator.

The GCD of 9 and 78 is 3.

We divide the numerator and denominator of the given ratio by 3:

9 ÷ 3 = 3
78 ÷ 3 = 26

Therefore, the ratio 9 over 78 is equivalent to 3 over 26.

The correct answer is C) 3 over 26.
Answered by GPT 3.5
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is found by flipping the numerator and denominator.

So, we can calculate 7/8 divided by 3/4 as:

(7/8) * (4/3)

Multiplying the numerators together and multiplying the denominators together, we get:

(7 * 4) / (8 * 3)

Simplifying the numerator and denominator, we get:

28 / 24

To simplify this fraction further, we can find the greatest common divisor (GCD) of 28 and 24, which is 4.

Dividing both the numerator and denominator by 4, we get:

28 / 24 = 7 / 6

So, 7/8 divided by 3/4 is equal to 7/6.

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