Question

Which equation gives the number of 13

inches that are in 56
inch?


CLEAR CHECK

13÷56=25

56÷13=518

13÷56=185

56÷13=52

Answer 1

The correct equation is D)

Explanation:

The answer is equation D)

To find how many
`(1)/(3)` inches are in
`(5)/(6)` of an inch, you must divide
`(5)/(6)` by
`(1)/(3)`.

When diving fractions, you find the reciprocal of the second fraction (flip the fraction) & then you multiply the fractions.

`(5)/(6)` ÷
`(1)/(3)`

In this case,
`(1)/(3)` is the second fraction you must find the reciporcal of.

Flipping the fraction will give you the reciprocal as 3.

Multiply
`(5)/(6)` by 3.

Cross-cancellation:

`(5)/(6)` x
`(3)/(1)`

As 3 can go into 6, you can divide both 3 by 3 & 6 by 3. The second fraction will be cancelled out (
`(1)/(1)`) and you will have
`(5)/(2)` left over (since anything multiplied by 1 will remain the same).

Simplification:

`(5)/(6)` x
`(3)/(1)`

`(15)/(6)`

Divide both numerator & denominator by 3 (the Greatest Common Factor) to simplify.

=
`(5)/(2)`

So, as a result, the correct equation is equation D).