Converting 0.1412 to a Fraction
Step-by-step explanation of how to convert 0.1412 to a fraction

Result

0.1412 =
353
2500

Step 1: Identify the number of decimal places

The decimal 0.1412 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1412 × 10000 = 1412

Step 3: Write as a fraction

0.1412 =

1412
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1412 and 10000.

GCD(1412, 10000) = 4

Divide both the numerator and denominator by the GCD:

1412
10000

=

1412 ÷ 4
10000 ÷ 4

=

353
2500
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