# What is the quotient in 2 4/7 -: 1 3/6?

Oct 14, 2016

2 4/7 ÷1 3/6=1 5/7

#### Explanation:

When you divide mixed fractions you first convert them to improper fractions. Further, dividing by a number $\frac{a}{b}$ is equivalent to multiplying by its reciprocal i.e. for dividing by $\frac{a}{b}$, you multiply by $\frac{b}{a}$ i.e. numerator and denominators reversed. Hence,

2 4/7 ÷1 3/6

= (2×7+4)/7÷(1×6+3)/6

= 18/7÷9/6

= 18/7×6/9

= (2cancel18)/7×6/(1cancel9)

= (2×6)/7

= 12/7=(1×7+5)/7

= $1 \frac{5}{7}$