What is 3 3/4 \div 2 1/12 ?

The solution to 3 3/4 \div 2 1/12 is 1 4/5

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3 3/4 \div 2 1/12

3 \frac{3}{4} \div 2 \frac{1}{12}

1 \frac{4}{5}

Solution steps

3 \frac{3}{4} \div 2 \frac{1}{12}

Convert mixed numbers to improper fractions:

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

= \frac{15}{4} \div 2 \frac{1}{12}

Convert mixed numbers to improper fractions:

2 \frac{1}{12} = \frac{25}{12}

= \frac{15}{4} \div \frac{25}{12}

Apply the fraction rule:

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

= \frac{15}{4} \times \frac{12}{25}

Multiply fractions:

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

= \frac{15 \times 12}{4 \times 25}

Multiply the numbers:

15 \times 12 = 180

= \frac{180}{4 \times 25}

Multiply the numbers:

4 \times 25 = 100

= \frac{180}{100}

Cancel the common factor:

20

= \frac{9}{5}

Convert improper fractions to mixed numbers:

\frac{9}{5} = 1 \frac{4}{5}

= 1 \frac{4}{5}

(- 100)^{- 100}

2 x^{3} - 8 x^{2} + 8 x

3 b + 4 - 7 b + 12 c - 10 b

- 7. 5^{2}

4 \times \frac{1}{10}