What is (-4 1/2)/((-1 3/8)) ?

The solution to (-4 1/2)/((-1 3/8)) is 3 3/11

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simplify (-4 1/2)/((-1 3/8))

simplify

\frac{- 4 \frac{1}{2}}{( - 1 \frac{3}{8} )}

3 \frac{3}{11}

Decimal Notation

3.27272 \dots

Solution steps

\frac{- 4 \frac{1}{2}}{( - 1 \frac{3}{8} )}

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

= \frac{- \frac{9}{2}}{( - 1 \frac{3}{8} )}

Convert mixed numbers to improper fractions:

1 \frac{3}{8} = \frac{11}{8}

= \frac{- \frac{9}{2}}{( - \frac{11}{8} )}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{\frac{9}{2}}{\frac{11}{8}}

Apply the fraction rule:

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

= \frac{9 \cdot 8}{2 \cdot 11}

Cancel

\frac{9 \cdot 8}{2 \cdot 11} : \frac{36}{11}

= \frac{36}{11}

Convert improper fractions to mixed numbers:

\frac{36}{11} = 3 \frac{3}{11}

= 3 \frac{3}{11}

- \frac{1}{2} \cdot lo g_{2} (\frac{1}{2}) - \frac{1}{2} \cdot lo g_{2} (\frac{1}{2})

(- 5) \cdot (- 3)

5 y - 3 (y + 2)

6 + 25

\frac{- 0.1 + 6 - 6}{- 0.1}