Divide 5/7 ÷ 5/2
Write the answer in simplest form
Choose the best answer from the options below:
A 2 / 7
B 7 / 2
C 10 / 35
D 35 / 10
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 5/2 is 2/5.
Therefore, the division 5/7 ÷ 5/2 is equal to 5/7 * 2/5.
When we multiply the numerators (5 * 2) and the denominators (7 * 5), we get the fraction 10/35.
To simplify this fraction, we can divide the numerator and the denominator by their greatest common factor, which is 5.
Dividing both 10 and 35 by 5 gives us the simplified fraction: 2/7.
Therefore, the answer is A) 2/7.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 5/2 = 2/5
So the division 5/7 ÷ 5/2 can be rewritten as (5/7) * (2/5).
Multiplying the numerators gives us 5 * 2 = 10, and multiplying the denominators gives us 7 * 5 = 35.
Therefore, the answer in simplest form is 10/35, which can be reduced to the fraction 2/7.
So the correct answer is A) 2/7.