Converting 33.7648 to a Fraction
Step-by-step explanation of how to convert 33.7648 to a fraction
Result
33.7648 =
21103
625
Mixed number:
33
478
625
Step 1: Identify the number of decimal places
The decimal 33.7648 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
33.7648 × 10000 = 337648
Step 3: Write as a fraction
33.7648 =
337648
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 337648 and 10000.
GCD(337648, 10000) = 16
Divide both the numerator and denominator by the GCD:
337648
10000
=
337648 ÷ 16
10000 ÷ 16
=
21103
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions