Converting 33.4472 to a Fraction
Step-by-step explanation of how to convert 33.4472 to a fraction

Result

33.4472 =
41809
1250
Mixed number:
33
559
1250

Step 1: Identify the number of decimal places

The decimal 33.4472 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.4472 × 10000 = 334472

Step 3: Write as a fraction

33.4472 =

334472
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 334472 and 10000.

GCD(334472, 10000) = 8

Divide both the numerator and denominator by the GCD:

334472
10000

=

334472 ÷ 8
10000 ÷ 8

=

41809
1250
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