Question

Evaluate:
6 1/2 ÷ 2 1/4

Answer 1

`\displaystyle 2(8)/(9)`

Explanation:

`\displaystyle 6(1)/(2) / 2(1)/(4) \hookrightarrow (13)/(2) / (9)/(4) \hookrightarrow \boxed{2(8)/(9)} = (1(4)/(9))/((1)/(2))`

OR

`\displaystyle 6(1)/(2) / 2(1)/(4) \hookrightarrow (13)/(2) / (9)/(4) \hookrightarrow (26)/(9) = (13)/(2) * (4)/(9) \\ \\ \boxed{2(8)/(9)}`

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Answer 2

2 8/9

Explanation:

1. Convert to impromper fractions (like 12/4 for example)

6 1/2 as improper fraction would be 6 *2 +1, first you do 6 x 2, to get 12, then you add 1, so 6 1/2 as an imporper fraction would be 13/4.

2 1/4 as imporper fraction would be 2 x 4 +1, first you do 2 x 4, to get 8, then you add 1, so 2 1/4 as an imporper fraction would be 9/4.

2. Second you multiply 13/4 x 9/4

To mutiply 13/4 x 9/4, you need to cross multiplication. Cross multiplication - a x c over b x d . You should get 13x 2 / 1 x 9 , so 13/4 x 9/4, would be 26/9.

3. Convert 26/9 to mixed number, which would be 2 8/9.