Which ratio is equivalent to 9 over 78?
A) 1 over 3
B) 3 over 18
C) 3 over 26
D) 1 over 8
To find an equivalent ratio, we need to simplify the given ratio by finding the Greatest Common Divisor (GCD) of the numerator and denominator.
The GCD of 9 and 78 is 3.
We divide the numerator and denominator of the given ratio by 3:
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the ratio 9 over 78 is equivalent to 3 over 26.
The correct answer is C) 3 over 26.
To find a ratio equivalent to 9 over 78, we need to simplify the fraction 9/78:
Step 1: Find the greatest common divisor (GCD) of 9 and 78. The factors of 9 are 1, 3, and 9. The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. The GCD of 9 and 78 is 3.
Step 2: Divide both the numerator and denominator of the fraction by the GCD. Simplifying 9/78 by dividing both 9 and 78 by 3 results in 3/26.
Therefore, the ratio equivalent to 9 over 78 is 3 over 26 (C).
To find a ratio equivalent to 9/78, we need to find a ratio that can be simplified to the same value.
To simplify a ratio, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide them both by this value.
In this case, the GCD of 9 and 78 is 3.
Dividing both the numerator and denominator by 3, we get:
9 ÷ 3 = 3
78 ÷ 3 = 26
So, the simplified ratio is 3/26.
Comparing this simplified ratio to the given options:
A) 1/3 - This is not the same as 3/26.
B) 3/18 - To simplify this ratio, we can divide both the numerator and denominator by 3, which gives us 1/6. This is not the same as 3/26.
C) 3/26 - This is the same as the simplified ratio 3/26.
D) 1/8 - This is not the same as 3/26.
Therefore, the ratio that is equivalent to 9/78 is C) 3/26.
what is 7 over 8 divided by 3 over 4?
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is found by flipping the numerator and denominator.
So, we can calculate 7/8 divided by 3/4 as:
(7/8) * (4/3)
Multiplying the numerators together and multiplying the denominators together, we get:
(7 * 4) / (8 * 3)
Simplifying the numerator and denominator, we get:
28 / 24
To simplify this fraction further, we can find the greatest common divisor (GCD) of 28 and 24, which is 4.
Dividing both the numerator and denominator by 4, we get:
28 / 24 = 7 / 6
So, 7/8 divided by 3/4 is equal to 7/6.