Q.5 What number should be multiplied by -7/26 to get the product 56/78

1.	Q.5 What number should be multiplied by -7/26 to get the product 56/78?
Answer» ong>Answer: $\large \mathfrak{ \fcolorbox{aqua}{white}{ \color{magenta}{{ \dag \: Question}}}}$ What number should be multiplied by $\frac{-7}{26}$ to GET the PRODUCT $\frac{56}{78}$ ? $\large \mathfrak{ \fcolorbox{pink}{white}{ \color{blue}{{ \dag \: Answer}}}}$ To FIND : The number that should be multiplied by $\frac{-7}{26}$ to get the product $\frac{56}{78}$ ? Solⁿ : Let the unknown number be x. Now, $= > \frac{ - 7}{26} \times x = \frac{56}{78}$ $= > \frac{ - 7x}{26} = \frac{56}{78}$ $= > - 7x = \frac{56}{78} \times 26$ $= > - 7x = { \cancel{ \frac{1456}{ \cancel{78}}}} = \frac{56}{3}$ $= > - x = \frac{56}{3} \div 7$ $= > - x = \frac{56}{3} \times \frac{1}{7}$ $= > - x = \frac{8}{3}$ $= > x = \frac{ - 8}{3}$ $\frac{ - 8}{3}$ ✅ Hence, $\frac{ - 8}{3}$ should be multiplied by $\frac{-7}{26}$ to get the product $\frac{56}{78}$ . HOPE it is helpful.... $\huge{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$