Converting 47.13752 to a Fraction
Step-by-step explanation of how to convert 47.13752 to a fraction
Result
47.13752 =
589219
12500
Mixed number:
47
1719
12500
Step 1: Identify the number of decimal places
The decimal 47.13752 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.13752 × 100000 = 4713752
Step 3: Write as a fraction
47.13752 =
4713752
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4713752 and 100000.
GCD(4713752, 100000) = 8
Divide both the numerator and denominator by the GCD:
4713752
100000
=
4713752 ÷ 8
100000 ÷ 8
=
589219
12500
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