Question

How do you solve `20 1/2 div 3/4`?

Answer 1

`27 1/3`

Explanation:

Convert the improper fraction to a improper fraction

`20 1/2 = (20*2+1)/2=41/2`

So the problem becomes

`41/2 div 3/4`

Now you have to multiply by the reciprocal

`41/2 * 4/3`

Cross cancel

`41/cancel2 * (2cancel4)/3`

Multiply numerators and then denominators

`41/1 * 2/3 = 82/3`

Convert to an improper fraction

`82/3=27 1/3`

For another explanation please see the following tutorial.

Answer 2

`27.33 or 82/3`

Explanation:

When dividing fraction, you are actually multiplying by the reciprocal.

But first, it would be easier to work with improper fractions than with a mixed number.

So, to change `20 1/2` into an improper fraction:

Multiply the denominator by the whole number

`2xx20=40`

Then add the numerator to the product of the denominator and whole number

`40+1=41`

Then put `41` over the original denominator

`41/2`

Now, change the second fraction into its reciprocal

Which is just to switch the numerator and denominator

`3/4 => 4/3`

Change the division sign into multiplication

`41/2 xx 4/3`

Multiply the numerators together and the denominators

`164/6`

Simplify

`164/6=27.33 or 82/3`