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

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

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3 1/2 \div 3/4

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

4 \frac{2}{3}

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= \frac{7}{2} \div \frac{3}{4}

Apply the fraction rule:

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

= \frac{7}{2} \times \frac{4}{3}

Cross-cancel common factor:

2

= \frac{7}{1} \times \frac{2}{3}

Multiply fractions:

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

= \frac{7 \times 2}{1 \times 3}

Multiply the numbers:

7 \times 2 = 14

= \frac{14}{1 \times 3}

Multiply the numbers:

1 \times 3 = 3

= \frac{14}{3}

Convert improper fractions to mixed numbers:

\frac{14}{3} = 4 \frac{2}{3}

= 4 \frac{2}{3}

\frac{5 i}{3 - i}

ab - a

10 s^{2} + 101 s + 10

\frac{5}{2} - \frac{5}{6}

(x + 5) (x + 4) (x - 1)