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 26 End Fraction
To find the ratio that is equivalent to 9/78, we can divide both the numerator and the denominator of 9/78 by the same number until we get the simplest form.
Let's start by dividing both 9 and 78 by their greatest common divisor (GCD). The GCD of 9 and 78 is 3.
9 ÷ 3 = 3
78 ÷ 3 = 26
So, the equivalent ratio to 9/78 is 3/26.
To find the ratio that is equivalent to 9/78, we need to find a ratio that has the same value when simplified. To simplify a ratio, we divide both the numerator and denominator by their greatest common divisor (GCD).
First, let's find the GCD of 9 and 78. The factors of 9 are 1, 3, and 9, and the factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. The largest common factor of 9 and 78 is 3.
Now, we divide both the numerator and denominator of 9/78 by 3:
9 ÷ 3 = 3
78 ÷ 3 = 26
So, the simplified ratio of 9/78 is 3/26. Therefore, the ratio equivalent to 9/78 is 3/26.