Which ratio is equivalent to 9 over 78?

A) 1 over 3

B) 3 over 18

C) 3 over 26

D) 1 over 8

3 answers

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.
what is 7 over 8 divided by 3 over 4?
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.