Converting 47.632 to a Fraction
Step-by-step explanation of how to convert 47.632 to a fraction
Result
47.632 =
5954
125
Mixed number:
47
79
125
Step 1: Identify the number of decimal places
The decimal 47.632 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
47.632 × 1000 = 47632
Step 3: Write as a fraction
47.632 =
47632
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47632 and 1000.
GCD(47632, 1000) = 8
Divide both the numerator and denominator by the GCD:
47632
1000
=
47632 ÷ 8
1000 ÷ 8
=
5954
125
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