Converting 33.982 to a Fraction
Step-by-step explanation of how to convert 33.982 to a fraction
Result
33.982 =
16991
500
Mixed number:
33
491
500
Step 1: Identify the number of decimal places
The decimal 33.982 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
33.982 × 1000 = 33982
Step 3: Write as a fraction
33.982 =
33982
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 33982 and 1000.
GCD(33982, 1000) = 2
Divide both the numerator and denominator by the GCD:
33982
1000
=
33982 ÷ 2
1000 ÷ 2
=
16991
500
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