Converting 0.421 to a Fraction
Step-by-step explanation of how to convert 0.421 to a fraction

Result

0.421 =
421
1000

Step 1: Identify the number of decimal places

The decimal 0.421 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.421 × 1000 = 421

Step 3: Write as a fraction

0.421 =

421
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 421 and 1000.

GCD(421, 1000) = 1

Divide both the numerator and denominator by the GCD:

421
1000

=

421 ÷ 1
1000 ÷ 1

=

421
1000
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