Which ratio is equivalent to 9/78 ?(1 point) Responses 1/8 3/28 1/3 3/18
To find the equivalent ratio to 9/78, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor. The greatest common divisor of 9 and 78 is 3.
So, dividing both 9 and 78 by 3, we get:
9/3 ÷ 78/3 = 3/26
Therefore, the ratio equivalent to 9/78 is 3/26.
To find a ratio equivalent to 9/78, divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 9 and 78 is 3.
Dividing both 9 and 78 by 3, we get:
9 ÷ 3 = 3
78 ÷ 3 = 26
So, the ratio 9/78 is equivalent to the ratio 3/26. Therefore, the correct answer is 3/26.
To determine which ratio is equivalent to 9/78, you need to find a ratio that has the same value when simplified. To simplify a ratio, you need to divide both the numerator and denominator by their greatest common divisor (GCD).
To find the GCD of 9 and 78, you can use the Euclidean algorithm. Start by dividing 78 by 9:
78 ÷ 9 = 8 remainder 6
Then divide 9 by the remainder:
9 ÷ 6 = 1 remainder 3
Continue dividing until you reach a remainder of 0:
6 ÷ 3 = 2 remainder 0
The GCD of 9 and 78 is 3.
Now, divide both the numerator and denominator of 9/78 by the GCD of 3:
9 ÷ 3 = 3
78 ÷ 3 = 26
The simplified ratio is 3/26.
Now, let's compare the simplified ratio to the given options:
1/8, 3/28, 1/3, 3/18
The correct ratio that is equivalent to 9/78 is 3/26.