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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