Question

Which ratio is equivalent to 9/78 ?
3/18
3/26
1/8
1/3

Answer 1

The equivalent ratio to 9/78 is 3/26, as both numbers can be divided by their greatest common divisor, which is 3.

Step-by-step explanation:

To determine which ratio is equivalent to 9/78, we have to simplify the ratio by finding the greatest common divisor (GCD) of both the numerator and the denominator. The GCD of 9 and 78 is 3. Dividing both the numerator and the denominator by this number gives us:

9 ÷ 3 = 3

78 ÷ 3 = 26

Therefore, the equivalent ratio is 3/26.

Examining the given options:

• 3/18 is not equivalent because if you simplify it further (dividing both the numerator and the denominator by 3), you get 1/6.
• 3/26 is the equivalent ratio we just calculated.
• 1/8 is not equivalent since neither 9 nor 78 is divisible by 8 to get these numbers.
• 1/3 is not equivalent as neither 9 nor 78 is divisible by the required amounts to obtain it.

Therefore, the correct answer is 3/26.