What is $1 \frac{1}{4} \times 2 \frac{4}{5}$ $1 1/4 xx 2 4/5$ ?

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What is $1 \frac{1}{4} \times 2 \frac{4}{5}$ $1 1/4 xx 2 4/5$ ?

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Answer 1 · 2018-03-08T20:24:41

$\frac{7}{2} = 3 \frac{1}{2}$ $7/2=3 1/2$

Explanation:

$to multiply mixed numbers$ $"to multiply "color(blue)"mixed numbers"$

$∙ change mixed numbers to improper fractions$ $• " change mixed numbers to improper fractions"$

$∙ cancel any common factors$ $• " cancel any "color(blue)"common factors"$

$1 \frac{1}{4} = \frac{5}{4} and 2 \frac{4}{5} = \frac{14}{5}$ $1 1/4=5/4" and "2 4/5=14/5$

$\Rightarrow 1 \frac{1}{4} \times 2 \frac{4}{5}$ $rArr1 1/4xx2 4/5$

$= \frac{5}{4} \times \frac{14}{5}$ $=5/4xx14/5$

$we can cancel the 5's and the 4 with 14 by 2$ $"we can cancel the 5's and the 4 with 14 by 2"$

$=cancel(5)^1/cancel(4)^2xxcancel(14)^7/cancel(5)^1$

$=(1xx7)/(2xx1)=7/2=3 1/2$

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What is $1 \frac{1}{4} \times 2 \frac{4}{5}$ $1 1/4 xx 2 4/5$ ?

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