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QuestionMathematics

What is the value of the expression 1 / 5 divided by 4?
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the problem

We need to divide $$\frac{1}{5}$$ by 4.

Step 3:
: Set up the division

\frac{1}{5} \div 4 = \frac{1}{5} \times \frac{1}{4}
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

Step 4:
: Multiply the fractions

\frac{1}{5} \times \frac{1}{4} = \frac{1 \times 1}{5 \times 4} = \frac{1}{20}
When multiplying fractions, we multiply the numerators and denominators:

Final Answer

Key Insights: - Dividing by a number is equivalent to multiplying by its reciprocal - When multiplying fractions, multiply numerators together and denominators together - The result is simplified to \frac{1}{20}