Question

How do you simplify `6/7 div4/5`?

Answer 1

`6/7-:4/5=15/14=1 1/14`

Explanation:

Simplify:

`6/7-:4/5`

When dividing by a fraction, invert the fraction and multiply the numerators and denominators.

`6/7xx5/4`

`(6xx5)/(7xx4)`

Simplify.

`30/28`

We can reduce the fraction by dividing the numerator and denominator by `2`.

`(30-:2)/(28-:2)`

Simplify.

`15/14`

`15/14` is an improper fraction, which can be converted into a mixed number `(color(red)(a) color(blue)(b)/color(green)(c))` by dividing `15` by `14` using long division to get a whole number quotient and a remainder.

`15-:14="1 remainder 1"`

The whole number quotient becomes the whole number of the mixed number, the remainder becomes the numerator, and the divisor `(14)` remains the denominator.

`15/14=color(red)(1) color(blue)(1)/color(green)(14`