Which ratio is equivalent to 9/78,
3/18
1/8
3/26
1/3
To find which ratio is equivalent to 9/78, we can simplify each ratio by dividing both the numerator and denominator by their greatest common divisor.
For 3/18, the greatest common divisor is 3. Dividing both the numerator and denominator by 3, we get 1/6.
For 1/8, there are no common factors other than 1, so it is already simplest form.
For 3/26, there are no common factors other than 1, so it is already simplest form.
For 1/3, there are no common factors other than 1, so it is already simplest form.
Out of these options, the only ratio that simplifies to 9/78 is 1/6.
To find the ratio equivalent to 9/78, we need to simplify the fraction 9/78.
Step 1: Find the greatest common divisor (GCD) of the numerator (9) and the denominator (78).
The GCD of 9 and 78 is 3.
Step 2: Divide both the numerator and the denominator of the fraction by their GCD.
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the ratio equivalent to 9/78 is 3/26.
To find the ratio that is equivalent to 9/78, we can simplify the given ratio by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 9 and 78 is 3. So, divide both 9 and 78 by 3:
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the simplified ratio equivalent to 9/78 is 3/26.
Now let's check which of the given ratios is equal to 3/26:
1. Ratio 3/18:
To check if it's equal to 3/26, we simplify it by dividing both the numerator and denominator by their GCD. The GCD of 3 and 18 is 3.
3 ÷ 3 = 1
18 ÷ 3 = 6
So, the simplified ratio of 3/18 is 1/6, which is not equal to 3/26.
2. Ratio 1/8:
To check if it's equal to 3/26, we simplify it by dividing both the numerator and denominator by their GCD. The GCD of 1 and 8 is 1.
1 ÷ 1 = 1
8 ÷ 1 = 8
So, the simplified ratio of 1/8 is 1/8, which is not equal to 3/26.
3. Ratio 3/26:
To check if it's equal to 3/26, we don't need to simplify it further because it's already in the simplest form.
4. Ratio 1/3:
To check if it's equal to 3/26, we simplify it by dividing both the numerator and denominator by their GCD. The GCD of 1 and 3 is 1.
1 ÷ 1 = 1
3 ÷ 1 = 3
So, the simplified ratio of 1/3 is 1/3, which is not equal to 3/26.
Therefore, the ratio equivalent to 9/78 is 3/26.