What ratio is equivalent to 9/78?
A.) 1/8
B.) 3/18
C.) 1/3
D.) 3/26
To find an equivalent ratio, we can simplify the given ratio 9/78.
To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and denominator and divide them both by it.
The GCD of 9 and 78 is 3, so we can divide both 9 and 78 by 3:
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the simplified equivalent ratio to 9/78 is 3/26.
The correct answer is (D) 3/26.
To determine the ratio equivalent to 9/78, we need to simplify the fraction 9/78. Here's how you can do it:
Step 1: Find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 9 and 78 is 3.
Step 2: Divide both the numerator and denominator by the GCD found in step 1. When we divide 9 by 3, we get 3, and when we divide 78 by 3, we get 26.
Therefore, the simplified fraction of 9/78 is 3/26.
Now, let's check which of the given ratios is equivalent to 3/26:
A) 1/8 - This ratio is not equivalent to 3/26, as it is smaller.
B) 3/18 - This ratio is also not equivalent to 3/26, as it can be simplified further.
C) 1/3 - This ratio is not equivalent to 3/26, as it is larger.
D) 3/26 - This ratio is indeed equivalent to 3/26.
So, the ratio equivalent to 9/78 is D) 3/26.
To find out what ratio is equivalent to 9/78, we need to simplify the given fraction.
The first step is to find the greatest common divisor (GCD) of the numerator (9) and the denominator (78).
The prime factors of 9 are 3 * 3
The prime factors of 78 are 2 * 3 * 13
From the above prime factorization, we can see that the GCD of 9 and 78 is 3.
Now, divide both the numerator (9) and the denominator (78) by the GCD (3).
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the simplified ratio is 3/26.
Option D.) 3/26 is the correct answer.