Converting 33.6724 to a Fraction
Step-by-step explanation of how to convert 33.6724 to a fraction

Result

33.6724 =
84181
2500
Mixed number:
33
1681
2500

Step 1: Identify the number of decimal places

The decimal 33.6724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.6724 × 10000 = 336724

Step 3: Write as a fraction

33.6724 =

336724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 336724 and 10000.

GCD(336724, 10000) = 4

Divide both the numerator and denominator by the GCD:

336724
10000

=

336724 ÷ 4
10000 ÷ 4

=

84181
2500
Related Conversions
Other decimal to fraction conversions you might find useful