Converting 33.9424 to a Fraction
Step-by-step explanation of how to convert 33.9424 to a fraction

Result

33.9424 =
21214
625
Mixed number:
33
589
625

Step 1: Identify the number of decimal places

The decimal 33.9424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.9424 × 10000 = 339424

Step 3: Write as a fraction

33.9424 =

339424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 339424 and 10000.

GCD(339424, 10000) = 16

Divide both the numerator and denominator by the GCD:

339424
10000

=

339424 ÷ 16
10000 ÷ 16

=

21214
625
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