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:

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<reasoning>

Multiply by the reciprocal of the divisor

\[
\frac{5}{4} \div \frac{1}{4} = \frac{5}{4} \times \frac{4}{1}
\]

Simplify the expression

\[
\frac{5 \times 4}{4 \times 1} = \frac{20}{4} = 5
\]
</reasoning>

<answer>
<mcq-option>(A) \(\frac{5}{16}\)</mcq-option>
<mcq-option>(B) \(\frac{1}{5}\)</mcq-option>
<mcq-correct>(C) 5</mcq-correct>
<mcq-option>(D) 20</mcq-option>
</answer>

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Answer:

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<reasoning>

Multiply by the reciprocal of the divisor

\[
\frac{5}{4} \div \frac{1}{4} = \frac{5}{4} \times \frac{4}{1}
\]

Simplify the expression

\[
\frac{5 \times 4}{4 \times 1} = \frac{20}{4} = 5
\]
</reasoning>

<answer>
<mcq-option>(A) \(\frac{5}{16}\)</mcq-option>
<mcq-option>(B) \(\frac{1}{5}\)</mcq-option>
<mcq-correct>(C) 5</mcq-correct>
<mcq-option>(D) 20</mcq-option>
</answer>

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