500 / 4 (13)/(14)

Question

`500 / 4 (13)/(14)`

Answer 1

Greetings!

Here is how we simplify the following expression:

`=(500)/(4(13)/(14))`

First, convert the mixed number into a improper fraction. Not sure how to do that? Here is a guide:

→ Multiply the whole number by the denominator of the fraction:

⇒
`(4)(14)=56`

→ Add the product to the numerator of the fraction:

⇒
`56+13=69`

The improper fraction would be:
`\boxed{(69)/(14)}`

`= (500)/((69)/(14))`

Flip the numerator and denominator to turn the division into multiplication:

`=(500)((14)/(69))`

`=((500)/(1))((14)/(69))`

Multiply the numerators of the fractions by each other. Complete the same thing with the denominators. Example:
`((x)/(y))((x)/(y))= ((x)(x))/((y)(y))`

`=((500)(14))/((1)(69))`

`=(7000)/(69)`

The Answer is:

`\boxed{=(7000)/(69)}`

I hope this helped!

-Benjamin