What is 8 1/4 \div 2 1/2 ?

The solution to 8 1/4 \div 2 1/2 is 3 3/10

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8 1/4 \div 2 1/2

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

3 \frac{3}{10}

Solution steps

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

Convert mixed numbers to improper fractions:

8 \frac{1}{4} = \frac{33}{4}

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

Convert mixed numbers to improper fractions:

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

= \frac{33}{4} \div \frac{5}{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}{5}

Cross-cancel common factor:

2

= \frac{33}{2} \times \frac{1}{5}

Multiply fractions:

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

= \frac{33 \times 1}{2 \times 5}

Multiply the numbers:

33 \times 1 = 33

= \frac{33}{2 \times 5}

Multiply the numbers:

2 \times 5 = 10

= \frac{33}{10}

Convert improper fractions to mixed numbers:

\frac{33}{10} = 3 \frac{3}{10}

= 3 \frac{3}{10}

\frac{1}{3 x ^{3} y}

3 (x^{2} y)^{3} \cdot (\frac{2}{x})^{2}

\frac{1}{2} + \frac{3}{4} + 2

\frac{1}{3} + \frac{1}{6} + \frac{1}{9}

(2 x + 3) (x - 3)