Converting 33.564 to a Fraction
Step-by-step explanation of how to convert 33.564 to a fraction
Result
33.564 =
8391
250
Mixed number:
33
141
250
Step 1: Identify the number of decimal places
The decimal 33.564 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
33.564 × 1000 = 33564
Step 3: Write as a fraction
33.564 =
33564
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 33564 and 1000.
GCD(33564, 1000) = 4
Divide both the numerator and denominator by the GCD:
33564
1000
=
33564 ÷ 4
1000 ÷ 4
=
8391
250
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