What is 2 1/2 \div 3/4 ?

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

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2 1/2 \div 3/4

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

3 \frac{1}{3}

Solution steps

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

Convert mixed numbers to improper fractions:

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

= \frac{5}{2} \div \frac{3}{4}

Apply the fraction rule:

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

= \frac{5}{2} \times \frac{4}{3}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 2 = 10

= \frac{10}{1 \times 3}

Multiply the numbers:

1 \times 3 = 3

= \frac{10}{3}

Convert improper fractions to mixed numbers:

\frac{10}{3} = 3 \frac{1}{3}

= 3 \frac{1}{3}

(x - 8) (x + 4) + (x - 3) (x + 9)

- 4 r + s - 2 r - 3 s

\frac{8 x}{5} - \frac{x}{8}

s^{2} + 7 s + 12

1 - e^{1}