Converting 0.814 to a Fraction
Step-by-step explanation of how to convert 0.814 to a fraction

Result

0.814 =
407
500

Step 1: Identify the number of decimal places

The decimal 0.814 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.814 × 1000 = 814

Step 3: Write as a fraction

0.814 =

814
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 814 and 1000.

GCD(814, 1000) = 2

Divide both the numerator and denominator by the GCD:

814
1000

=

814 ÷ 2
1000 ÷ 2

=

407
500
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