Question

subtract the sum of minus 7 by 8 and 5 by 16 from the sum of 3 by 5 and 2 by 9​

Answer 1

Answer :-

• The required number is 997/720.

What to do?

• Subtract the sum of -7/8 and 5/16 from the sum of 3/5 and 2/9.

Solution :-

• Before subtracting the sum of -7/8 and 5/16 from the sum of 3/5 and 2/9, let's find the sum of -7/8 and 5/16 first!

Sum of -7/8 and 5/16 :-

$\longmapsto\tt\dfrac{ - 7}{ \: \: 8} + \dfrac{5}{16}$

$\longmapsto\tt\dfrac{( - 7 \times 2) + (5 \times 1)}{16}$

$\longmapsto\tt \dfrac{ - 14 + 5}{ \: 16}$

$\longmapsto\tt \dfrac{ - 9}{ \: 16}$

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• Now, let's find the sum of 3/5 and 2/9!

Sum of 3/5 and 2/9 :-

$\longmapsto\tt \dfrac{3}{5} + \dfrac{2}{9}$

$\longmapsto\tt \dfrac{3 \times 9 + 2 \times 5}{45}$

$\longmapsto\tt\dfrac{27 + 10}{45}$

$\longmapsto\tt\dfrac{37}{45}$

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• Finally, let's subtract -9/16 from 37/45 to get our answer!

$\longmapsto\tt \dfrac{37}{45} - \dfrac{ - 9}{16}$

$\longmapsto\tt \dfrac{(37 \times 16) - ( - 9 \times 45)}{720}$

$\longmapsto\tt \dfrac{592 + 405}{720}$

$\longmapsto\tt\dfrac{997}{720}$

Hence :-

• The answer is 997/720.