Converting 0.1422 to a Fraction
Step-by-step explanation of how to convert 0.1422 to a fraction
Result
0.1422 =
711
5000
Step 1: Identify the number of decimal places
The decimal 0.1422 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.1422 × 10000 = 1422
Step 3: Write as a fraction
0.1422 =
1422
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1422 and 10000.
GCD(1422, 10000) = 2
Divide both the numerator and denominator by the GCD:
1422
10000
=
1422 ÷ 2
10000 ÷ 2
=
711
5000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions