Question

Simplify :-


$\begin{gathered}\frac{ - 16}{5} \: \times \: \frac{20}{8} \: - \: \frac{15}{5} \: \times \frac{ - 35}{3} \\\end{gathered}$​

Answer 1

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

Simplify :-

$\bigg(\begin{gathered}\frac{ - 16}{5} \: \times \: \frac{20}{8} \bigg) \: - \: \bigg( \frac{15}{5} \: \times \frac{ - 35}{3} \bigg) \\\end{gathered}$

$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: \bigg( \frac{ - 16}{5} \: \times \: \frac{20}{8} \bigg) \: - \: \bigg( \frac{15}{5} \: \times \frac{ - 35}{3} \bigg) }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\bf{ \bigg( \frac{ - 16 \: \times \: 20}{5 \: \times \: 8} \bigg) \: - \: \bigg( \frac{15 \: \times \: - 35}{5 \: \times \: 3} \bigg) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \bigg( \frac{ \cancel \purple{- 16} \: \times \:\cancel \green{ 20}}{ \cancel \green5 \: \times \: \cancel \purple{8}} \bigg) \: - \: \bigg( \frac{ \cancel \red{15} \: \times \: \cancel \blue{- 35}}{ \cancel \blue {5 }\: \times \: \cancel \red{ 3} } \bigg) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \bigg( \frac{ -2\: \times \: 4}{1 \: \times \: 1} \bigg) \: - \: \bigg( \frac{5 \: \times \: - 7}{1 \: \times \: 1} \bigg) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{ - 8}{1} \: - \: \frac{ - 35}{1} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ - 8 \: - ( - 35) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ - 8 \: + \: 35 }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{27 }}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Solution \: of \: Equation \: = \underline {\underline{ 27}}}\\\end{gathered}\end{gathered}$

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More For Knowledge:-

$\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{B} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{minipage}}$

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Answer 2

${\bold{\huge{\fbox{\color{Maroon}{ANSWER}}}}}$

$\frac{ - 16}{5} \times \frac{20}{8} - \frac{15}{5} \times \frac{ - 35}{5} \\ = - 8 - ( - 35) \\ 27$

HOPE THIS HELPS YOU ☝️.....