What is 2 4/5 \div 4 ?

The solution to 2 4/5 \div 4 is 7/10

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2 4/5 \div 4

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

\frac{7}{10}

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{4}{5} = \frac{14}{5}

= \frac{14}{5} \div 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{14}{5} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{14}{5} \times \frac{1}{4}

Cross-cancel common factor:

2

= \frac{7}{5} \times \frac{1}{2}

Multiply fractions:

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

= \frac{7 \times 1}{5 \times 2}

Multiply the numbers:

7 \times 1 = 7

= \frac{7}{5 \times 2}

Multiply the numbers:

5 \times 2 = 10

= \frac{7}{10}

\frac{1}{2} \times 20

\frac{1}{2} \times 25

\frac{3}{5} \times 100

tan^{2} (x) (1 + cot (x)) + 1 - tan (x)

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