Which ratio is equivalent to 9/78 ?(1 point)
3/26
To find the ratio equivalent to 9/78, divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 9 and 78 is 3.
Dividing 9 by 3 gives us 3, and dividing 78 by 3 gives us 26.
Therefore, the ratio equivalent to 9/78 is 3/26.
To find a ratio equivalent to 9/78, we need to simplify the given fraction by finding the greatest common divisor (GCD) of the numerator (9) and the denominator (78).
Step 1: Find the GCD of 9 and 78.
The factors of 9 are 1, 3, and 9.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
The only common factor they have is 3.
Step 2: Divide both the numerator and the denominator by the GCD (which is 3).
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the simplified ratio is 3/26, which is equivalent to 9/78.