QQuestionMathematics
QuestionMathematics
Convert decimal inches to a fraction of an inch: 0.60 to the nearest 1 / 8.
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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:: Understand the Problem
We need to convert the decimal 0.60 to the nearest 1 / 8 of an inch. This means finding the closest fractional representation using eighths.
Step 3:: List Possible Eighths Fractions
0, \frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{4}{8}, \frac{5}{8}, \frac{6}{8}, \frac{7}{8}, 1
The possible eighths between 0 and 1 are:
Step 4:: Convert Decimal to Eighths
0.60 \times 8 = 4.80
Multiply 0.60 by 8 to see how many eighths it represents:
Step 5:: Determine Nearest Eighth
The closest eighths are $$\frac{4}{8}$$ (which is $$\frac{1}{2}$$) and $$\frac{5}{8}
Step 6:: Compare Distances
- Distance from 0.60 to $$\frac{4}{8}$$ (0.50): $$|0.60 - 0.50| = 0.10
- Distance from 0.60 to \frac{5}{8} (0.625): |0.60 - 0.625| = 0.025
Step 7:: Choose Nearest Fraction
Since 0.025 < 0.10, $$\frac{5}{8}$$ is closer to 0.60.
Final Answer
\frac{5}{8} inch
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