Converting 47.31424 to a Fraction
Step-by-step explanation of how to convert 47.31424 to a fraction
Result
47.31424 =
147857
3125
Mixed number:
47
982
3125
Step 1: Identify the number of decimal places
The decimal 47.31424 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.31424 × 100000 = 4731424
Step 3: Write as a fraction
47.31424 =
4731424
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4731424 and 100000.
GCD(4731424, 100000) = 32
Divide both the numerator and denominator by the GCD:
4731424
100000
=
4731424 ÷ 32
100000 ÷ 32
=
147857
3125
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