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

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

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3 3/4 \div 1 2/3

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

2 \frac{1}{4}

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{3}{4} = \frac{15}{4}

= \frac{15}{4} \div 1 \frac{2}{3}

Convert mixed numbers to improper fractions:

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

= \frac{15}{4} \div \frac{5}{3}

Apply the fraction rule:

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

= \frac{15}{4} \times \frac{3}{5}

Cross-cancel common factor:

5

= \frac{3}{4} \times \frac{3}{1}

Multiply fractions:

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

= \frac{3 \times 3}{4 \times 1}

Multiply the numbers:

3 \times 3 = 9

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

Multiply the numbers:

4 \times 1 = 4

= \frac{9}{4}

Convert improper fractions to mixed numbers:

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

= 2 \frac{1}{4}

\frac{7}{2}

417 \times 52 \times 34

7 \times 7 \times 7 \times 7

12 - \frac{3}{2}

\frac{9 \cdot 4}{9 + 4}