How do you multiply $6 \frac{1}{2} \div 1 \frac{1}{8}$ $6 1/2 div 1 1/8$ ?

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How do you multiply $6 \frac{1}{2} \div 1 \frac{1}{8}$ $6 1/2 div 1 1/8$ ?

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Answer 1 · 2016-06-02T13:12:56

$\frac{52}{9} = 5 \frac{7}{9}$ $52/9=5 7/9$

Explanation:

The first step here is to change the $mixed numbers into improper fractions$ $color(blue)"mixed numbers into improper fractions"$

$\Rightarrow 6 \frac{1}{2} = 6 + \frac{1}{2} = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}$ $rArr6 1/2=6+1/2=12/2+1/2=13/2$

and $1 \frac{1}{8} = 1 + \frac{1}{8} = \frac{8}{8} + \frac{1}{8} = \frac{9}{8}$ $1 1/8=1+1/8=8/8+1/8=9/8$

$\Rightarrow 6 \frac{1}{2} \div 1 \frac{1}{8} = \frac{13}{2} \div \frac{9}{8}$ $rArr6 1/2÷1 1/8=13/2÷9/8$

To divide 2 fractions : change ÷ to × and invert (turn) the 2nd fraction.

$\Rightarrow \frac{13}{2} \div \frac{9}{8} = \frac{13}{2} \times \frac{8}{9}$ $rArr13/2÷9/8=13/2xx8/9$

now that we have multiplication we can cancel out any common factors between the numerators and denominators.

$rArr13/(cancel(2)^1)xx(cancel(8)^4)/9=(13xx4)/(1xx9)=52/9=5 7/9$

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