Question

$\frac{\frac{1}{5}}{\frac{4}{5} }$   = ?

• A. 4/5
• B. 1/4
• C. 1/5
• D. 5/4

Answer 1

Answer:

B. 1/4

Direct Answer

The value of the expression is $\frac{1}{4}$ (or 0.25).

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Step 1: Use the reciprocal rule for fraction division

To divide by a fraction, you multiply by its reciprocal (flip the bottom fraction upside down):
$\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} \times \frac{d}{c}$

Applying this to our problem:
$\frac{\frac{1}{5}}{\frac{4}{5}} = \frac{1}{5} \times \frac{5}{4}$

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Step 2: Simplify the equation

Cancel out the common number 5 from both the numerator and the denominator:
$\frac{1}{\cancel{5}} \times \frac{\cancel{5}}{4} = \mathbf{\frac{1}{4}}$

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When two fractions being divided have the exact same denominator, you can simply cross out the denominators directly:
$\frac{\frac{1}{\cancel{5}}}{\frac{4}{\cancel{5}}} = \mathbf{\frac{1}{4}}$