Converting 37.9648 to a Fraction
Step-by-step explanation of how to convert 37.9648 to a fraction
Result
37.9648 =
23728
625
Mixed number:
37
603
625
Step 1: Identify the number of decimal places
The decimal 37.9648 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.9648 × 10000 = 379648
Step 3: Write as a fraction
37.9648 =
379648
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 379648 and 10000.
GCD(379648, 10000) = 16
Divide both the numerator and denominator by the GCD:
379648
10000
=
379648 ÷ 16
10000 ÷ 16
=
23728
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions