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

The solution to 5 1/4 \div 1/8 is 42

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5 1/4 \div 1/8

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

42

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Cross-cancel common factor:

4

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

Multiply fractions:

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

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

Multiply the numbers:

21 \times 2 = 42

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

Multiply the numbers:

1 \times 1 = 1

= \frac{42}{1}

Apply rule

\frac{a}{1} = a

= 42

2^{2} (8) - 4 ∣ 4 - 8 ∣

x^{a} x^{b}

\frac{125}{15}

80 \div 20

\frac{7}{2 ( x - 6 ) ^{2} - 4}