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Evaluate:
6 1/2 ÷ 2 1/4

Sagot :

Answer:

2 8/9

Step-by-step 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.

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Answer:

[tex]\displaystyle 2\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\displaystyle 6\frac{1}{2} \div 2\frac{1}{4} \hookrightarrow \frac{13}{2} \div \frac{9}{4} \hookrightarrow \boxed{2\frac{8}{9}} = \frac{1\frac{4}{9}}{\frac{1}{2}}[/tex]

OR

[tex]\displaystyle 6\frac{1}{2} \div 2\frac{1}{4} \hookrightarrow \frac{13}{2} \div \frac{9}{4} \hookrightarrow \frac{26}{9} = \frac{13}{2} \times \frac{4}{9} \\ \\ \boxed{2\frac{8}{9}}[/tex]

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