Question

Question #9bc49

Answer 1

`7/6`

Explanation:

We have: `(7/8)/(3/4)`

When dividing fractions we must apply the following rule:

`(a/b)/(c/d)=a/b*d/c`

So `(7/8)/(3/4)->7/8*4/3=28/24`

We can simplify `28/24` since both numbers are divisible by `4`

`(28divide4)/(24divide4)=7/6`

Answer 2

`28/24 = 7/6 = 1 1/6`

Explanation:

The answer can be expressed as a fraction a "reduced" fraction or a mixed number .

A fraction is actually a division problem so a fraction divided by a fraction is a complex fraction. Write the first fraction as the numerator and the second as the denominator of the complex fraction.

`(7/8)/(3/4)`

Now to simply the complex fraction multiple both the numerator and the denominator by the inverse of the bottom (second) fraction. Multiplying by the inverse equals 1 removing the bottom fraction.

`(7/8 xx 4/3)/(3/4 xx 4/3)`

This is the same as multiplying by 1 which does not change the value of the fraction. This gives

`7/8 xx 4/3` : `3/4 xx 4/3 = 1`

`7/8 xx 4/3 = 28/24`

`( 28/4)/(24/4) = 7/6`

`7/6 = 1 1/6`