What is 5 1/4 \div 5/8 ?

The solution to 5 1/4 \div 5/8 is 8 2/5

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5 1/4 \div 5/8

5 \frac{1}{4} \div \frac{5}{8}

8 \frac{2}{5}

Solution steps

5 \frac{1}{4} \div \frac{5}{8}

Convert mixed numbers to improper fractions:

5 \frac{1}{4} = \frac{21}{4}

= \frac{21}{4} \div \frac{5}{8}

Apply the fraction rule:

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

= \frac{21}{4} \times \frac{8}{5}

Cross-cancel common factor:

4

= \frac{21}{1} \times \frac{2}{5}

Multiply fractions:

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

= \frac{21 \times 2}{1 \times 5}

Multiply the numbers:

21 \times 2 = 42

= \frac{42}{1 \times 5}

Multiply the numbers:

1 \times 5 = 5

= \frac{42}{5}

Convert improper fractions to mixed numbers:

\frac{42}{5} = 8 \frac{2}{5}

= 8 \frac{2}{5}

lo g_{2} (4^{x})

2 \cdot + 3

(4 - 3 i) i

1 - x - 2

(6 - 3)^{2}