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In Mathematics / Middle School | 2014-10-15

What is the answer for the following divisions?

1. \(\frac{4}{5} \div \frac{3}{10}\)

2. \(\frac{9}{10} \div \frac{7}{20}\)

Asked by jasmin123

Answer (3)

First for 4/5 divided by 3/10 you find the common denominator which is 10 then do the same to the top as you've done to the bottoms to get 10, 5•2=10 so 4•2=8 making that your new numerator for the first fraction, 10•1=10 so 3•1=3making your first fraction 8/10 and your second 3/10..then make the second fraction into a reciprocal and flip it making 3/10 to 10/3 and changing your division to multiplication , keep your first fraction the same.. I like cross canceling so with cross canceling it would simplify to 8•1 and 1•3 (straight across top then bottom) making your answer an improper fraction which is 8/3 which goes to 2 2/3... Hope it helped and sorry for any spelling errors For 9/10 divided by 7/20 you find the common denominator which is 20 and do the same to the top that you did to the bottom to get 18/20 divided by 7/20, then get your reciprocal and change the second fraction to 20/7 and the division sign to multiplication then either cross cancel the 20's out with each other and make them into 1's then multiply straight across to get 18/7 which goes to 2 4/7
First answer-8/3 or 2 and 2/3 Second answer- 18/7 or 2 and 4/7

Answered by Kylee316 | 2024-06-10

D u r in g f r a c t i o n s d i v i s i o n w e 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 10 3 ​ 5 4 ​ ​ = 5 4 ​ ∗ 3 10 ​ = 3 8 ​ = 2 3 2 ​ 20 7 ​ 10 9 ​ ​ = 10 9 ​ ∗ 7 20 ​ = 7 18 ​ = 2 7 4 ​

Answered by luana | 2024-06-10

The answer for 5 4 ​ ÷ 10 3 ​ is 3 8 ​ or 2 3 2 ​ . The answer for 10 9 ​ ÷ 20 7 ​ is 7 18 ​ or 2 7 4 ​ .
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Answered by Kylee316 | 2024-12-26