Question

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

Answer 1

`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 `a/b` is equivalent to multiplying by its reciprocal i.e. for dividing by `a/b`, you multiply by `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 5/7`