Question

Change the improper fraction to a mixed number. Simplify your answer.

86 / 4 =

Answer 1

Our answer is:

`\huge\boxed{21(1)/(2)}`

`\Large\textsl{Explanation}`

We are asked to change 86/4 to a mixed number.

The first thing I'll do is I'll reduce the fraction:

`\sf{\cfrac{86/2}{4/2}}`

`\sf{\cfrac{43}{2}}`

Now think of how many times 2 goes into 43. That'll be the whole number.

2 goes into 43, 21 times.

Now multiply 21 times 2 - you get 42.

Now subtract 42 from 43 - you get 1, which is the remainder.

That's also the numerator of our mixed number.

The denominator stays the same.

So, our answer is:

`\sf{21\cfrac{1}{2}}`

`\therefore`
`\sf{21\cfrac{1}{2}}`

Answer 2

`(86)/(4) = (43)/(2) = 21 (1)/(2)`