How do you solve 5/2 + 9 divided by 3 - 2/6?

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How do you solve 5/2 + 9 divided by 3 - 2/6?

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Answer 1 · 2016-02-05T14:24:23

$4 \frac{5}{16}$ $4 5/16$

Explanation:

Given: $(\frac{5}{2} + 9) \div (3 - \frac{2}{6})$ $" "(5/2+9) -:(3-2/6)$

But $9 is the same as \frac{18}{2}$ $9" is the same as "18/2$

And $3 is the same as \frac{18}{6}$ $3" is the same as "18/6$

Substituting gives:

$(\frac{5}{2} + \frac{18}{2}) \div (\frac{18}{6} - \frac{2}{6})$ $(5/2+18/2)-:(18/6-2/6)$

$(\frac{23}{2}) \div (\frac{16}{6})$ $(23/2)-:(16/6)$

$\frac{23}{2} \div \frac{16}{6}$ $23/2-:16/6$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using the shortcut method:

Invert the divisor (turn $\frac{16}{6}$ $16/6$ upside down) and multiply

$\frac{23}{2} \times \frac{6}{16}$ $23/2xx6/16$

This is the same as:

$\frac{23}{16} \times \frac{6}{2}$ $23/16xx6/2$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Doing the arithmetic

But $6 \div 2 = 3$ $6-:2 = 3$ giving:

$\frac{23}{16} \times 3$ $color(brown)(23/16xx3)$

$\frac{23 \times 3}{16} if this bit confuses you think of \frac{23}{16} \times \frac{3}{1} = \frac{23 \times 3}{16 \times 1}$ $color(blue)((23xx3)/16)" if this bit confuses you think of "color(brown)( 23/16 xx 3/1)color(blue)( =(23xx3)/(16xx1))$

$\frac{69}{16}$ $69/16$

$4 \frac{5}{16}$ $4 5/16$

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How do you solve 5/2 + 9 divided by 3 - 2/6?

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