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 fractions, we should multiply the first fraction by the reciprocal of the second fraction.
So, 5/7 ÷ 5/2 can be rewritten as 5/7 x 2/5.
Now, we can cancel out the common factors of 5 in both the numerator and denominator.
The simplified form is 1/7, which is equivalent to 1 ÷ 7.
Therefore, the answer is A. 1/7.
To divide fractions, we can multiply the dividend (5/7) by the reciprocal of the divisor (5/2):
(5/7) ÷ (5/2) = (5/7) x (2/5)
Next, we can multiply the numerators and the denominators:
(5/7) x (2/5) = (5 x 2) / (7 x 5) = 10/35
Therefore, the answer in simplest form is C) 10/35.