Question

Using appropriate property solve the rational number 12/5 x ((-6/7)+9/2)

Answer 1

$\\ \\ \huge\bf\color{darkblue}{Q᭄}\color{purple}{ues}\purple{tion}\color{pink}{｡•}$

$\huge \frac{12}{5} \times (( \frac{ - 6}{7} ) + \frac{9}{2} )$

$\\ \\ \huge\bf\color{darkblue}{A᭄}\color{purple}{ns}\purple{wer}\color{pink}{｡•}$

$\implies \huge (\frac{12}{5} \times \frac{ - 6}{9} ) +( \frac{12}{5} \times \frac{9}{2} )$

$\implies \huge \frac{ - 8}{5} + \frac{54}{5}$

$\implies \huge \frac{ - 8 + 54}{5}$

$\implies \huge \frac{46}{5} \sf(or \: 9 \frac{1}{5} in \: mixed \: fraction)$

Property used :

Distributive property :

$a(b + c) = ab + ac$

Answer 2

Answer:

$\begin{gathered} \\ \\ \huge\bf\color{darkblue}{Q}\color{purple}{ues}\purple{tion}\color{pink}{｡•} \\ \\ \end{gathered}$

$\huge \frac{12}{5} \times (( \frac{ - 6}{7} ) + \frac{9}{2} )$

$\begin{gathered} \\ \\ \huge\bf\color{darkblue}{A᭄}\color{purple}{ns}\purple{wer}\color{pink}{｡•} \\ \\ \end{gathered}$

$\implies \huge (\frac{12}{5} \times \frac{ - 6}{9} ) +( \frac{12}{5} \times \frac{9}{2} )$⟹

$\implies \huge \frac{ - 8}{5} + \frac{54}{5}$⟹

$\implies \huge \frac{ - 8 + 54}{5}$⟹

$\implies \huge \frac{46}{5} \sf(or \: 9 \frac{1}{5} in \: mixed \: fraction)$

Property used :

Distributive property :

a(b + c) = ab + aca(b+c)=ab+ac