Unit Rates & Proportions Unit Test

Question

1 of 151 of 15 Items
Question
Which ratio is equivalent to 9/78?(1 point)
Responses

1/3
Start Fraction 1 over 3 End Fraction

1/8
Start Fraction 1 over 8 End Fraction

3/26
Start Fraction 3 over 26 End Fraction

3/18
Start Fraction 3 over 18 End Fraction

Answer 1

To find a ratio equivalent to \( \frac{9}{78} \), you can simplify the fraction by finding the greatest common divisor (GCD) of 9 and 78.

1. Finding the GCD: The factors of 9 are 1, 3, and 9. The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. The largest common factor is 3.

2. Dividing both the numerator and the denominator by the GCD: \[ \frac{9 \div 3}{78 \div 3} = \frac{3}{26} \]

Thus, the ratio equivalent to \( \frac{9}{78} \) is \( \frac{3}{26} \).

So, the correct response is: 3/26