Converting 33.6824 to a Fraction
Step-by-step explanation of how to convert 33.6824 to a fraction
Result
33.6824 =
42103
1250
Mixed number:
33
853
1250
Step 1: Identify the number of decimal places
The decimal 33.6824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
33.6824 × 10000 = 336824
Step 3: Write as a fraction
33.6824 =
336824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 336824 and 10000.
GCD(336824, 10000) = 8
Divide both the numerator and denominator by the GCD:
336824
10000
=
336824 ÷ 8
10000 ÷ 8
=
42103
1250
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