QQuestionMathematics
QuestionMathematics
Convert the decimal below to a fraction in simplest form.
0.38
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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:: 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
0.38 = \frac{38}{100}
Step 4:: Simplify the Fraction
To simplify, we'll find the greatest common divisor (GCD) of 38 and 100. The factors of 38 are: 1, 2, 19, 38 The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100 The greatest common divisor is 2.
Step 5:: Divide Both Numerator and Denominator by the GCD
\frac{38 \div 2}{100 \div 2} = \frac{19}{50}
Final Answer
0.38 = \frac{19}{50}
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