What is 16 1/2 \div 2 1/4 ?

The solution to 16 1/2 \div 2 1/4 is 7 1/3

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16 1/2 \div 2 1/4

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

7 \frac{1}{3}

Solution steps

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

Convert mixed numbers to improper fractions:

16 \frac{1}{2} = \frac{33}{2}

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

Convert mixed numbers to improper fractions:

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

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

Apply the fraction rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

33 \times 4 = 132

= \frac{132}{2 \times 9}

Multiply the numbers:

2 \times 9 = 18

= \frac{132}{18}

Cancel the common factor:

6

= \frac{22}{3}

Convert improper fractions to mixed numbers:

\frac{22}{3} = 7 \frac{1}{3}

= 7 \frac{1}{3}

\frac{6}{34}

- \frac{1}{4} - \frac{1}{3}

16 x^{9}

3 x y + 15 x - 2 y - 10