What is 33/4 \div 4 1/2 ?

The solution to 33/4 \div 4 1/2 is 1 5/6

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33/4 \div 4 1/2

\frac{33}{4} \div 4 \frac{1}{2}

1 \frac{5}{6}

Solution steps

\frac{33}{4} \div 4 \frac{1}{2}

Convert mixed numbers to improper fractions:

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

= \frac{33}{4} \div \frac{9}{2}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{33}{4} \times \frac{2}{9}

Multiply fractions:

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

= \frac{33 \times 2}{4 \times 9}

Multiply the numbers:

33 \times 2 = 66

= \frac{66}{4 \times 9}

Multiply the numbers:

4 \times 9 = 36

= \frac{66}{36}

Cancel the common factor:

6

= \frac{11}{6}

Convert improper fractions to mixed numbers:

\frac{11}{6} = 1 \frac{5}{6}

= 1 \frac{5}{6}

\frac{2 x ^{2} - 3 x - 5}{x + 1}

(1 + 5 i) + (2 + 3 i)

\frac{1}{3} - \frac{2}{15}

\frac{53}{12}

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