Converting 0.421875 to a Fraction
Step-by-step explanation of how to convert 0.421875 to a fraction

Result

0.421875 =
27
64

Step 1: Identify the number of decimal places

The decimal 0.421875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.421875 × 1000000 = 421875

Step 3: Write as a fraction

0.421875 =

421875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 421875 and 1000000.

GCD(421875, 1000000) = 15625

Divide both the numerator and denominator by the GCD:

421875
1000000

=

421875 ÷ 15625
1000000 ÷ 15625

=

27
64
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