Question

5/6 x 15 =
2/3 x 1/4=
4/9 x 3/8=​

Answer 1

`(5)/(6) * 15 = 12(1)/(2)`

`(2)/(3) * (1)/(4) = (1)/(6)`

`(4)/(9) * (3)/(8) = (1)/(6)`

Explanation:

`(5)/(6) * 15 = (5 * 15)/(6) = (75)/(6)\\`

Reduce the fraction by diving both sides by the common factor.

`(75)/(6) = (75 / 3)/(6/3) = (25)/(2)`

To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.

25 / 2 = 12 with remainder of 1

`(25)/(2) = 12(1)/(2)`

`(2)/(3) * (1)/(4) = (2 * 1)/(3 * 4) = (2)/(12) = (2/2)/(12/2) = (1)/(6)`

`(4)/(9) * (3)/(8) = (4 * 3)/(9 * 8) = (12)/(72) = (12 / 12)/(72 / 12) = (1)/(6)`

Answer 2

1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)

2. 2/12 = 1/6 (simplified)

3. 12/72 = 1/6 (simplified)

Hope this helps :)