Fill in the blanks :

(i) (……………) ÷ $\Big(\dfrac{-5}{6}\Big)$ = -30

(ii) (……………) ÷ (-8) = $\Big(\dfrac{-3}{4}\Big)$

(iii) $\Big(\dfrac{-15}{14}\Big)$ ÷ (……………) = $\dfrac{5}{2}$

(iv) (-16) ÷ (……………) = 6

(i) 25 ÷ $\Big(\dfrac{-5}{6}\Big)$ = -30

(ii) 6 ÷ (-8) = $\Big(\dfrac{-3}{4}\Big)$

(iii) $\Big(\dfrac{-15}{14}\Big)$ ÷ $\Big(\dfrac{\bold{-3}}{\bold{7}}\Big)$ = $\dfrac{5}{2}$

(iv) (-16) ÷ $\Big(\dfrac{\bold{-8}}{\bold{3}}\Big)$ = 6

Explanation

(i) To find the dividend, multiply the quotient by the divisor: $-30 \times \dfrac{-5}{6} = 25$.

(ii) The dividend is found by multiplying the quotient and divisor: $\dfrac{-3}{4} \times -8 = 6$.

(iii) To find the divisor, divide the dividend by the quotient: $\dfrac{-15}{14} \div \dfrac{5}{2} = \dfrac{-3}{7}$.

(iv) The missing divisor is calculated by dividing the dividend by the result: $-16 \div 6 = \dfrac{-8}{3}$.