Question

solve this question step by step it's so easy
.. class 8th ka hai​

Answer 1

Answer:

Prooved !!

Step-by-step explanation:

Sorry for bad handwriting

Hope it helps !!

Answer 2

$\sf\mathbb\color{darkblue} {solution : = > }$

$\sf\mathbb\color{green} {prove \: that} \: \: \: \sf\mathbb\color{red} { \frac{ - 5}{6} + \frac{7}{10} + \frac{3}{4} \: \: \: ...(1) = }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{yellow} { = ( \frac{ - 5}{6} + \frac{7}{10}) + \frac{3}{4} \: \: \: ..(2)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{pink} { = \frac{ - 5}{6} + ( \frac{7}{10} + \frac{3}{4} ) \: \: \: ...(3)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{purple} { = ( \frac{3}{4} + \frac{ - 5}{6} ) + \frac{7}{10} }$

$\sf\mathbb\color{yell} { \: : = > }$

$\sf\mathbb\color{yellow} {proof \: : }\sf\mathbb\color{blue} {we \: can \: observe \: that \: in \: equation \: }\sf\mathbb\color{pink} \: {1 , }\sf\mathbb\color{red} \: {2 , }\sf\mathbb\color{green} \: {3 , }\sf\mathbb\color{black} { \: 4}$

$\sf\mathbb\color{lightblue} { \frac{ - 5}{6} , \frac{7}{10} , \frac{3}{4} \: are \: \: common}$

$\sf\mathbb\color{purple} {∴ \: we \: have \: to \: take \: LCM \: and \: make \: the \: denominator \: same }$

$\sf\mathbb\color{black} {LCM = 2 \times 2 \times 3 \times 5 }$

$\: \: \: \: \: \: \: \: \: \: \: = 4 \times 15 \\ = 60$

$\sf\mathbb\color{pink} {(1) \: \: \frac{ - 5}{6} \times \frac{10}{10} = \frac{ - 50}{60} }$

$\sf\mathbb\color{red} {(2) \: \: \frac{7}{10} \times \frac{6}{6} = \frac{42}{60} }$

$\sf\mathbb\color{green} {(3) \: \: \frac{3}{4} \times \frac{15}{15} = \frac{45}{60} }$

• Solution

$\sf\mathbb\color{green} {(i) \: \: \: \frac{ - 5}{6} + \frac{7}{10} + \frac{3}{4} }$

$\sf\mathbb\color{green} {⟹ \frac{ - 50 + 42 + 45}{60} }$

$\sf\mathbb\color{green} {⟹ \frac{87 - 50}{60} }$

$\sf\mathbb\color{green} {⟹ \frac{37}{60} }$

$\sf\mathbb\color{yellow} {(ii) \: \: (\frac{ - 5}{6} + \frac{7}{10} ) + \frac{3}{4} }$

$\sf\mathbb\color{yellow} {⟹( \frac{ - 50 + 42}{60} ) + \frac{45}{60} }$

$\sf\mathbb\color{yellow} {⟹ \frac{ - 8 }{60} + \frac{45}{60} }$

$\sf\mathbb\color{yellow} {⟹ \frac{37}{60} }$

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