How do you simplify $7 \frac{1}{2} - (\frac{1}{9} + \frac{2}{3}) \div \frac{3}{2}$ $7 1/2 - (1/9 + 2/3) div 3/2$ ?

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How do you simplify $7 \frac{1}{2} - (\frac{1}{9} + \frac{2}{3}) \div \frac{3}{2}$ $7 1/2 - (1/9 + 2/3) div 3/2$ ?

2 Answers

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Answer 1 · 2016-03-20T11:32:06

$\frac{15}{2} - \frac{1 + 6}{9} \cdot \frac{2}{3}$ $15/2-(1+6)/9*2/3$
$\frac{15}{2} - \frac{7}{9} \cdot \frac{2}{3}$ $15/2-7/9*2/3$
$\frac{15}{2} - \frac{14}{27}$ $15/2-14/27$
$\frac{405 - 28}{54}$ $(405-28) /54$
$\frac{377}{54}$ $377/54$
$6.981$ $6.981$

Answer 2 · 2016-03-20T12:43:00

$6 \frac{53}{54}$ $6 53/54$

Explanation:

Converting mixed fraction to simple fraction and
Simplifying the fraction within the parenthesis to begin with, using PEMDAS or BODMAS

$\frac{15}{2} - (\frac{1 + 6}{9}) \div \frac{3}{2}$ $15/2-((1+6)/9)-:3/2$
$\frac{15}{2} - \frac{7}{9} \div \frac{3}{2}$ $15/2-7/9-:3/2$
Next is solving of $\div$ $-:$ by converting it to $\times$ $xx$ and writing reciprocal of divisor
$\frac{15}{2} - \frac{7}{9} \times \frac{2}{3}$ $15/2-7/9xx 2/3$
$\frac{15}{2} - \frac{14}{27}$ $15/2-14/27$
We are left with $-$ $-$ sign

$\frac{405 - 28}{54}$ $(405-28) /54$
$\frac{377}{54}$ $377/54$
Stating the result as a mixed fraction
$6 \frac{53}{54}$ $6 53/54$

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How do you simplify $7 \frac{1}{2} - (\frac{1}{9} + \frac{2}{3}) \div \frac{3}{2}$ $7 1/2 - (1/9 + 2/3) div 3/2$ ?

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Explanation:

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How do you simplify $7 \frac{1}{2} - (\frac{1}{9} + \frac{2}{3}) \div \frac{3}{2}$ $7 1/2 - (1/9 + 2/3) div 3/2$ ?