Question

Mark (✓) against the correct answer
By what number should $2\frac{3}{5}$ be multiplied to get $1\frac{6}{7}$ ?

(a) $1\frac{5}{7}$
(b) $\frac{5}{7}$
(c) $1\frac{1}{7}$
(d) $\frac{1}{7}$

Answer 1

(b) $\frac{5}{7}$

Required number = $1\frac{6}{7}÷2\frac{3}{5}$

= $\frac{13}{7}÷\frac{13}{5}$

= $\frac{13}{7}\times \frac{5}{13}$ [∵ Reciprocal of $\frac{13}{5}$ = $\frac{5}{13}$]

= $\frac{5}{7}$