Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/ 5 is 5/ 2 ) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 5 gives 1/ 4 .
Answers & Comments
Answer:
D. 1/10 divided by 2/5
Step-by-step explanation:
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10
: 2/
5
= 1/
10
· 5/
2
= 1 · 5/
10 · 2
= 5/
20
= 5 · 1/
5 · 4
= 1/
4
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
5
is 5/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 5 gives 1/
4
.