Converting 33.4312 to a Fraction
Step-by-step explanation of how to convert 33.4312 to a fraction

Result

33.4312 =
41789
1250
Mixed number:
33
539
1250

Step 1: Identify the number of decimal places

The decimal 33.4312 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.4312 × 10000 = 334312

Step 3: Write as a fraction

33.4312 =

334312
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 334312 and 10000.

GCD(334312, 10000) = 8

Divide both the numerator and denominator by the GCD:

334312
10000

=

334312 ÷ 8
10000 ÷ 8

=

41789
1250
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