Math, asked by srinidhignanas20, 9 months ago

simplify (-1/3)-{1÷(2/3×5/7)+8-[5-1/2-1/4]}​

Answers

Answered by saketrani1986
1

Step-by-step explanation:

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Answered by prateekmishra16sl
0

Answer: The simplified value is -371/60

Step-by-step explanation:

(-1/3)-{1÷(2/3×5/7)+8-[5-1/2-1/4]}​

⇒  (\frac{-1}{3}) - { 1 ÷ (\frac{2}{3} × \frac{5}{7}) +8-[5-\frac{1}{2}-\frac{1}{4} ] }

Start with solving inner most brackets.

Solving () bracket inside the { } bracket

⇒  (\frac{-1}{3}) - { 1 ÷ (\frac{10}{21} ) +8-[5-\frac{1}{2}-\frac{1}{4} ] }

⇒  (\frac{-1}{3}) - { 1 ÷ \frac{10}{21} +8-[5-\frac{1}{2}-\frac{1}{4} ] }

Solving [ ] bracket inside the { } bracket.

⇒  (\frac{-1}{3}) - { 1 ÷ \frac{10}{21} +8-[\frac{20 - 2 -1}{4} ] }

⇒  (\frac{-1}{3}) - { 1 ÷ \frac{10}{21}+8 - [\frac{17}{4} ] }

⇒  (\frac{-1}{3}) - { 1 ÷ \frac{10}{21}+8 - \frac{17}{4} }

Simplifying { } bracket using DMAS rule, i.e., first solving division, then multiplication, then addition and finally subtraction.

⇒  (\frac{-1}{3}) - { 1 ×  \frac{21}{10}+8 - \frac{17}{4} }

⇒  (\frac{-1}{3}) -  { \frac{21}{10}+8 - \frac{17}{4} }

⇒  (\frac{-1}{3}) -  { \frac{117}{20} }

⇒  \frac{-1}{3}-\frac{117}{20}

⇒  \frac{-20}{60}-\frac{351}{60}

⇒  -\frac{371}{60}

 

#SPJ2

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