Converting 12.95744 to a Fraction
Step-by-step explanation of how to convert 12.95744 to a fraction

Result

12.95744 =
40492
3125
Mixed number:
12
2992
3125

Step 1: Identify the number of decimal places

The decimal 12.95744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

12.95744 × 100000 = 1295744

Step 3: Write as a fraction

12.95744 =

1295744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1295744 and 100000.

GCD(1295744, 100000) = 32

Divide both the numerator and denominator by the GCD:

1295744
100000

=

1295744 ÷ 32
100000 ÷ 32

=

40492
3125
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