QQuestionMathematics
QuestionMathematics
# What is 8 as a fraction of 240 written in its simplest form? Do not use a calculator.
a) $\frac{1}{40}$
b) $\frac{1}{30}$
c) $\frac{1}{3}$
d) $\frac{1}{60}$
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Answer
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Step 1:I'll solve this step by step using fraction simplification techniques:
Step 2:: Set up the initial fraction
\frac{8}{240}
Step 3:: Find the greatest common factor (GCF) of 8 and 240
- Factors of 8: 1, 2, 4, 8 - Factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 - The greatest common factor is 8
Step 4:: Divide both numerator and denominator by the GCF
\frac{8 ÷ 8}{240 ÷ 8} = \frac{1}{30}
Step 5:: Verify the simplified fraction
- $$\frac{8}{240} = \frac{1}{30}
- 8 \times 1 = 8
Final Answer
The answer is b) \frac{1}{30}
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