Question

Determine the quotient: 2 4/7 ÷ 1 3/6

Answer 1

First we must change these numbers to improper fractions:

$2\frac{4}{7}=\frac{18}{7}$

$1\frac{3}{6}=\frac{9}{6}$

So then we set it up:

$\frac{18}{7}$ ÷ $\frac{9}{6}$

When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

$\frac{18}{7}*\frac{6}{9}$

Then we solve:

$\frac{108}{63}$

Then if we divide the numerator and the denominator by 9, we get:

$\frac{12}{7}$ or, in mixed-number form, $1\frac{5}{7}$.