Math, asked by krishna11231, 2 months ago

4 1/10 - [2 1/2-{5/6-(2/5+3/10-4/15)}]​

Answers

Answered by llNidhill
11

Solution↷

[4 \frac{1}{10}  - 2 \frac{1}{2}  -  \{ \frac{5}{6} (  \frac{2}{5}  +  \frac{3}{10}  -  \frac{4}{15}) \}]

  = \frac{4 \times 10 + 1}{10}  - [ \frac{2 \times 2 + 1}{2}  -  \{ \frac{5}{6}   -  \\( \frac{2 \times 6 + 3 \times 3 - 4 \times 2}{30} )]  \\  =  \frac{41}{10}  - [\{ \frac{5}{2}   -  \frac{12 + 9 - 8}{30}   \}] \\  =  \frac{41}{10}  - [ \frac{5}{2}  -  \{ \frac{5}{6}  -  \frac{13}{30}  \}]  \\  = \frac{41}{10}  - [ \frac{5}{2}  -  \frac{5 \times 5 - 13}{30}  ]\\   = \frac{41}{10}  - [ \frac{5}{2}  -  \frac{25 - 23}{30}  ]\\  =  \frac{41}{10}  - [ \frac{5}{2}  -  \frac{12}{30}  \\  =  \frac{41}{10}  - [ \frac{5}{2}  -  \frac{2}{5} ] \\   = \frac{41}{10}   - [ \frac{5 \times 5 - 2 \times 2}{10} ] \\  =  \frac{41}{10}  -  \frac{25 - 4}{10}  \\  =  \frac{41 - 21}{10}  \\  =  \frac{20}{10}  \\   \color{lime}= 2

Answered by Hezal12
0

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