Question

How do you divide `1\frac { 2} { 5} \div \frac { 3} { 5}`?

Answer 1

`1 2/5-:3/5=2 1/3`

Explanation:

Dividing by a fraction `a/b` is equivalent to multiplying by its reciprocal or multiplicative inverse `b/a`.

As `1 2/5=1+2/5=5/5+2/5=(5+2)/5=7/5`

Hence, `1 2/5-:3/5=7/5xx5/3=7/cancel5^1xxcancel5^1/3=7/3`

= `(6+1)/3=6/3+1/3=2 1/3`