Converting 0.827 to a Fraction
Step-by-step explanation of how to convert 0.827 to a fraction

Result

0.827 =
827
1000

Step 1: Identify the number of decimal places

The decimal 0.827 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.827 × 1000 = 827

Step 3: Write as a fraction

0.827 =

827
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 827 and 1000.

GCD(827, 1000) = 1

Divide both the numerator and denominator by the GCD:

827
1000

=

827 ÷ 1
1000 ÷ 1

=

827
1000
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