What is 3 2/4 \div 4 ?

The solution to 3 2/4 \div 4 is 7/8

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3 2/4 \div 4

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

\frac{7}{8}

Solution steps

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

Convert mixed numbers to improper fractions:

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

= \frac{14}{4} \div 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{14}{4} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{14}{4} \times \frac{1}{4}

Cross-cancel common factor:

2

= \frac{7}{4} \times \frac{1}{2}

Multiply fractions:

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

= \frac{7 \times 1}{4 \times 2}

Multiply the numbers:

7 \times 1 = 7

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

Multiply the numbers:

4 \times 2 = 8

= \frac{7}{8}

5 (4 - 3 x)

\frac{2 x}{9} - \frac{5}{6}

\frac{9}{5} x + 32

8^{- x}

5 x^{2} - 4 x^{2}