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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