Converting 0.838 to a Fraction
Step-by-step explanation of how to convert 0.838 to a fraction

Result

0.838 =
419
500

Step 1: Identify the number of decimal places

The decimal 0.838 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.838 × 1000 = 838

Step 3: Write as a fraction

0.838 =

838
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 838 and 1000.

GCD(838, 1000) = 2

Divide both the numerator and denominator by the GCD:

838
1000

=

838 ÷ 2
1000 ÷ 2

=

419
500
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