Converting 1.838 to a Fraction
Step-by-step explanation of how to convert 1.838 to a fraction

Result

1.838 =
919
500
Mixed number:
1
419
500

Step 1: Identify the number of decimal places

The decimal 1.838 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.838 × 1000 = 1838

Step 3: Write as a fraction

1.838 =

1838
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1838 and 1000.

GCD(1838, 1000) = 2

Divide both the numerator and denominator by the GCD:

1838
1000

=

1838 ÷ 2
1000 ÷ 2

=

919
500
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