What is (3(3/2)+2)/((3/2)+1) ?

The solution to (3(3/2)+2)/((3/2)+1) is 13/5

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simplify (3(3/2)+2)/((3/2)+1)

simplify

\frac{3 ( \frac{3}{2} ) + 2}{( \frac{3}{2} ) + 1}

\frac{13}{5}

Decimal Notation

2.6

Solution steps

\frac{3 ( \frac{3}{2} ) + 2}{( \frac{3}{2} ) + 1}

Apply rule:

(a) = a

(\frac{3}{2}) = \frac{3}{2}

= \frac{3 \cdot \frac{3}{2} + 2}{\frac{3}{2} + 1}

3 \cdot \frac{3}{2} + 2 = \frac{13}{2}

= \frac{\frac{13}{2}}{\frac{3}{2} + 1}

\frac{3}{2} + 1 = \frac{5}{2}

= \frac{\frac{13}{2}}{\frac{5}{2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{13 \cdot 2}{2 \cdot 5}

Cancel the common factor:

2

= \frac{13}{5}

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