Converting 0.415072 to a Fraction
Step-by-step explanation of how to convert 0.415072 to a fraction

Result

0.415072 =
12971
31250

Step 1: Identify the number of decimal places

The decimal 0.415072 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.415072 × 1000000 = 415072

Step 3: Write as a fraction

0.415072 =

415072
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 415072 and 1000000.

GCD(415072, 1000000) = 32

Divide both the numerator and denominator by the GCD:

415072
1000000

=

415072 ÷ 32
1000000 ÷ 32

=

12971
31250
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