which ratio is equivalent to 9/78? A. 1/3 B. 3/18 C. 3/26 D. 1/8

1 answer

To find an equivalent ratio, we need to simplify the given ratio of 9/78.

To simplify a ratio, we can divide both the numerator and denominator by their greatest common divisor.

The factors of 9 are 1, 3, and 9.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.

The greatest common divisor of 9 and 78 is 3.

Dividing both the numerator and denominator by 3:
(9/3) / (78/3) = 3/26

So, the equivalent ratio to 9/78 is 3/26.
Therefore, the correct answer is C. 3/26.