When 8 is multiplied by 2 1/4, the product is
A. 8 1/3
B. 18/4
C 1/18
D. 18
When 8 is multiplied by 2 ¼,the product is
[tex]18[/tex]
EXPLANATION
Convert 2 ¼ to inproper fraction
A mixed number is an addition of its whole and fractional part
[tex]8 \times (2 + \frac{1}{4} )[/tex]
Add 2 and ¼
To write 2 as a fraction with a common denominator,multiply by 4/4
[tex]8 \times (2 \times \frac{4}{4} + \frac{1}{4} )[/tex]
Combine 2 and 4/4
[tex]8 \times ( \frac{2 \times 4}{4} + \frac{1}{4} )[/tex]
Combine the numerator over the common denominator
[tex]8 \times \frac{2 \times 4 + 1}{4} [/tex]
Simplify the numerator
Multiply 2 by 4
[tex]8 \times \frac{8 + 1}{4} [/tex]
And 8 and 1
[tex]8 \times \frac{9}{4} [/tex]
Cancel the common factor of 4
Factor 4 out of 6
[tex]4(2) \times \frac{9}{4} [/tex]
Cancel the common factor(4).
Rewrite the expression
[tex]2 \times 9[/tex]
Multiply 2 by 9
[tex]18[/tex]
The final answer is 18
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