Converting 33.6464 to a Fraction
Step-by-step explanation of how to convert 33.6464 to a fraction

Result

33.6464 =
21029
625
Mixed number:
33
404
625

Step 1: Identify the number of decimal places

The decimal 33.6464 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.6464 × 10000 = 336464

Step 3: Write as a fraction

33.6464 =

336464
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 336464 and 10000.

GCD(336464, 10000) = 16

Divide both the numerator and denominator by the GCD:

336464
10000

=

336464 ÷ 16
10000 ÷ 16

=

21029
625
Related Conversions
Other decimal to fraction conversions you might find useful