QQuestionMathematics
QuestionMathematics
Convert the decimal 0.375 into a fraction in simplest terms.
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Answer
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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Understand the Conversion Process
To convert a decimal to a fraction, we need to multiply the decimal by a power of 10 to make it a whole number, then simplify.
Step 3:: Multiply by an Appropriate Power of 10
0.375 = \frac{375}{1000}
Step 4:: Simplify the Fraction
Factors of 1000: $$1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
To simplify, we'll find the greatest common factor (GCF) of 375 and 1000. The greatest common factor is 125.
Step 5:: Divide Both Numerator and Denominator by 125
\frac{375 \div 125}{1000 \div 125} = \frac{3}{8}
Final Answer
0.375 = \frac{3}{8}
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