Question

divide. write your answer as a fraction or mixed number in simplest form.

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

Explanation:

Convert the mixed number to an improper fraction

$$ 5\frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} $$

Rewrite division as multiplication by the reciprocal

$$ \frac{21}{4} \div 8 = \frac{21}{4} \times \frac{1}{8} $$

Multiply the fractions

$$ \frac{21 \times 1}{4 \times 8} = \frac{21}{32} $$

Answer:

Divide. Write your answer as a fraction or mixed number in simplest form.

\(5\frac{1}{4} \div 8 =\) <blank>\(\frac{21}{32}\)</blank>