Converting 40.314144 to a Fraction
Step-by-step explanation of how to convert 40.314144 to a fraction
Result
40.314144 =
1259817
31250
Mixed number:
40
9817
31250
Step 1: Identify the number of decimal places
The decimal 40.314144 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.314144 × 1000000 = 40314144
Step 3: Write as a fraction
40.314144 =
40314144
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40314144 and 1000000.
GCD(40314144, 1000000) = 32
Divide both the numerator and denominator by the GCD:
40314144
1000000
=
40314144 ÷ 32
1000000 ÷ 32
=
1259817
31250
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