Question

Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7

Answer 1

28x/9

Explanation:

Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:

Here is the formula:

`(x)/(y) / (a)/(b) = (x)/(y) * (b)/(a)`

Thus,
`(8x)/(3) / (6)/(7) = (8x)/(3) * (7)/(6)`

8x * 7 = 56x and 3* 6 is 18, so:

`(56x)/(18)`

It can be further simplified by dividing both numerator and denominator by 2:

`(28x)/(9)`

Answer 2

`(28x)/(9)`

Explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

`(8x)/(3) /(6)/(7)`

Step 2: KCF (Keep Change Flip)

`(8x)/(3) ((7)/(6))`

Step 3: Multiply

`(56x)/(18)`

Step 4: Simplify

`(28x)/(9)`