Question

multiply 7/49 by the reciprocal of 28 / minus 35​

Answer 1

7/49 × 1/(28/-35)

1/7 × (-5/4)

-5/28

Answer 2

Answer- The above question is from the chapter 'Rational Numbers'.

Concept used: Reciprocal is called the multiplicative inverse.

Example: Reciprocal of $\frac{1}{34}$ is 34 and vice-versa.

Given question: Multiply $\frac{7}{49}$ by the reciprocal of $\frac{28}{-35}$ .

Solution: Reciprocal of $\frac{28}{-35} = \frac{-35}{28}$ .

$\dfrac{7}{49} \times \dfrac{-35}{28}$

= $\dfrac{1}{7} \times \dfrac{-5}{4}$

= $\dfrac{1 \times -5}{7 \times 4}$

= $\dfrac{-5}{28}$

∴ $\dfrac{7}{49} \times \dfrac{-35}{28} = \dfrac{-5}{28}$