Converting 0.418 to a Fraction
Step-by-step explanation of how to convert 0.418 to a fraction

Result

0.418 =
209
500

Step 1: Identify the number of decimal places

The decimal 0.418 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.418 × 1000 = 418

Step 3: Write as a fraction

0.418 =

418
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 418 and 1000.

GCD(418, 1000) = 2

Divide both the numerator and denominator by the GCD:

418
1000

=

418 ÷ 2
1000 ÷ 2

=

209
500
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