Converting 33.9744 to a Fraction
Step-by-step explanation of how to convert 33.9744 to a fraction
Result
33.9744 =
21234
625
Mixed number:
33
609
625
Step 1: Identify the number of decimal places
The decimal 33.9744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
33.9744 × 10000 = 339744
Step 3: Write as a fraction
33.9744 =
339744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 339744 and 10000.
GCD(339744, 10000) = 16
Divide both the numerator and denominator by the GCD:
339744
10000
=
339744 ÷ 16
10000 ÷ 16
=
21234
625
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