What is \(\frac{2}{5}\) divided by \(\frac{3}{5}\)?
Answer (3)
5 3 5 2 = ∣ D u r in g f r a c t i o n d i v i s i o n yo u m u lt i pl y f i rs t f r a c t i o n b y in v erse o f t h e seco n d 5 2 ∗ 3 5 = 5 ∗ 3 2 ∗ 5 = ∣ S h or t e nin g f r a c t i o n s 3 2 S o l u t i o n i s 3 2 .
2/5 : 3/5 = 2/5 × 5/3 = ( 2 × 5 ) / ( 5 × 3 ) ( s im pl i f i c a t i o n [ 5 ]) = 2/3
To divide 5 2 by 5 3 , we multiply by the reciprocal of the second fraction. The result is 3 2 after simplification. Thus, 5 2 ÷ 5 3 = 3 2 .
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