Question

7/8 divided by 3/9
please show steps and explain how so i can understand

Answer 1

Seven eighths divided by three ninths is equal to twenty-one eights.

Explanation:

The easiest way to divide one fraction by another is to simply multiply the first one by the second one. It's that easy:

`(7)/(8) / (3)/(9)`

is exactly the same as:

`(7)/(8) * (9)/(3)`

Which we can then solve by multiplying the numerators by each other and multiplying the denominators by each other

`(7)/(8) * (9)/(3)\\\\ = (7 * 9)/(8 * 3) \\\\ = (63)/(24) \\\\ = (21)/(8)`

Another way you can solve it is by noting that in the second number, both the numerator and denominator are divisible by 3, which gives a way to simplify before doing the division:

`(7)/(8)/ (3)/(9)\\\\= (7)/(8)/ (1)/(3)\\\\= (7)/(8)* (3)/(1)\\\\= (7)/(8)* 3\\\\= (21)/(8)`

Answer 2

21/8

Explanation:

okay so what we have to do is called flip n' multiply, so we leave the first fraction the way it is and the second one, we flip. so instead of 3/9, it would be 9/3. now we just do 7/8 times 9/3 to get 63/24 which I believe will be simplified to 21/8