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QuestionMathematics

What is 1 / 8 ​× 5 expressed as a fraction in its simplest form? A. 1 / 10 B. 5 / 8 C. 5 / 40 D. 5 / 8
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Answer

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Step 1:
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2:
: Multiply the fractions

\frac{1}{8} \times 5 = \frac{1}{8} \times \frac{5}{1}

Step 3:
: Multiply the numerators and denominators

= \frac{1 \times 5}{8 \times 1} = \frac{5}{8}

Step 4:
: Simplify the fraction

The fraction $$\frac{5}{8}$$ is already in its simplest form because 5 and 8 have no common factors other than 1.

Step 5:
: Check the given options

Looking at the options, we can see that $$\frac{5}{8}$$ corresponds to option B.

Final Answer

Key Insights: - When multiplying a fraction by a whole number, convert the whole number to a fraction with denominator 1 - Multiply numerators together and denominators together - Simplify the resulting fraction if possible