Question

divide the sum of 1/4 and ‐2/3 by the difference of 4/3 and ‐2/5 . ​

Answer 1

Answer:

hope it will help uhh in this que

Answer 2

Answer :-

• -25/104.

What to do?

• Divide the sum of 1/4 and -2/3 by the difference of 4/3 and -2/5.

Step-by-step explanation :-

• First, let's find the sum of 1/4 and -2/3!

$\longmapsto\sf\dfrac{1}{4} + \dfrac{ - 2}{ \: \: \: 3}$

$\sf\longmapsto \dfrac{(1 \times 3) +( - 2 \times 4)}{12}$

$\sf\longmapsto \dfrac{3 - 8}{12}$

$\sf \longmapsto \dfrac{ - 5}{ \: \: 12}$

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• Now, let's find the difference of 4/3 and -2/5!

$\longmapsto \sf\dfrac{4}{3} - \dfrac{ - 2}{ \: \: \: 5}$

$\sf\longmapsto \dfrac{(4 \times 5 )- ( - 2 \times 3)}{15}$

$\sf\longmapsto \dfrac{20 + 6}{15}$

$\sf\longmapsto \dfrac{26}{15}$

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• Finally, let's divide -5/12 by 26/15!

$\longmapsto\tt \dfrac{ - 5}{ \: 12} \div \dfrac{26}{15}$

$\longmapsto\tt\dfrac{ - 5}{ \: 12} \times \dfrac{15}{26}$

Cancelling the numbers,

$\longmapsto\tt\dfrac{ - 5}{ \: \: \: 4} \times \dfrac{5}{26}$

$\longmapsto \tt \dfrac{ - 25}{ \: \: 104}$

Hence :-

• The answer is -25/104.

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