D) 1 over 5 × 1 over 2
To find the quotient of a fraction divided by another fraction, you can use the following rule:
a over b ÷ c over d = a over b × d over c
This means that you can multiply the first fraction by the reciprocal of the second fraction.
In this case, 1 over 5 ÷ 2 is the same as 1 over 5 × 1 over 2.
You can check this by simplifying the fractions:1 over 5 × 1 over 2 = 1 over 101 over 5 ÷ 2 = 1 over 10
The other options are incorrect because they do not follow the rule of multiplying by the reciprocal.
A) 5 over 1 × 2 = 10
B) 5 over 1 × 1 over 2 = 5 over 2
C) 1 over 5 × 2 = 2 over 5