Converting 37.7984 to a Fraction
Step-by-step explanation of how to convert 37.7984 to a fraction

Result

37.7984 =
23624
625
Mixed number:
37
499
625

Step 1: Identify the number of decimal places

The decimal 37.7984 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.7984 × 10000 = 377984

Step 3: Write as a fraction

37.7984 =

377984
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 377984 and 10000.

GCD(377984, 10000) = 16

Divide both the numerator and denominator by the GCD:

377984
10000

=

377984 ÷ 16
10000 ÷ 16

=

23624
625
Related Conversions
Other decimal to fraction conversions you might find useful