Question

Please answer this question with full working and explanation

And I reward that person with stars. ​

Answer 1

3 7/12

Explanation:

First find the common denominator.

8,16,24

3,6,9,12,15,18,24

Once you find the common denominator. You have to fix the numerator.

7 2/8 would become 7 6/24

Whole numbers stay the same.

8 x 3 = 24

2 x 3 = 6

Now we repeat it on the other mixed number.

3 2/3 would become 3 16/24

Again whole numbers stay the same.

3 x 8 = 24

2 x 8 = 16

Once you convert the fractions to having the same denominator you subtract like normal.

7 6/24 - 3 16/24 = 3 14/24

3 14/24 can be simplified to 3 7/12

Answer 2

`\boxed{3 (7)/(12)}`

Explanation:

The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].

⇒
`7(2)/(8) - 3(2)/(3)`

⇒
`(7 * 8 + 2)/(8) - (3 * 3 + 2)/(3)`

⇒
`(56 + 2)/(8) - (9 + 2)/(3)`

⇒
`(58)/(8) - (11)/(3)`

The next step in simplifying the expression is to make the denominators of both fractions equivalent.

⇒
`(58)/(8) - (11)/(3)`

⇒
`(58 * 3)/(8 * 3) - (11 * 8)/(3 * 8)`

⇒
`(174)/(24) - (88)/(24)`

The third step in simplifying the expression is to subtract the fractions.

⇒
`(174)/(24) - (88)/(24)`

⇒
`(86)/(24)`

The fourth step in simplifying the expression is to simplify the difference of the two fractions.

⇒
`(86)/(24)`

⇒
`(86 / 2)/(24 / 2)`

⇒
`{(43)/(12)}`

The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.

⇒
`{(43)/(12)}`

⇒
`{(36)/(12)} + (7)/(12)`

⇒
`3 + (7)/(12)`

⇒
`\boxed{3 (7)/(12)}`