Converting 0.314625 to a Fraction
Step-by-step explanation of how to convert 0.314625 to a fraction
Result
0.314625 =
2517
8000
Step 1: Identify the number of decimal places
The decimal 0.314625 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.314625 × 1000000 = 314625
Step 3: Write as a fraction
0.314625 =
314625
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314625 and 1000000.
GCD(314625, 1000000) = 125
Divide both the numerator and denominator by the GCD:
314625
1000000
=
314625 ÷ 125
1000000 ÷ 125
=
2517
8000
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