Question

divide and simplify the answer to lowest terms. write the answer as a fraction or an integer.

\\(\frac{5}{4} \div \frac{1}{4}\\)

(a) \\(\frac{5}{16}\\)
(b) \\(\frac{1}{5}\\)
(c) 5
(d) 20

Explanation:

Multiply by the reciprocal of the divisor

$$ \frac{5}{4} \div \frac{1}{4} = \frac{5}{4} \times \frac{4}{1} $$

Simplify the expression

$$ \frac{5 \times 4}{4 \times 1} = \frac{20}{4} = 5 $$

Answer:

• (A) \(\frac{5}{16}\)
• (B) \(\frac{1}{5}\)
• (C) 5 (Correct answer)
• (D) 20