Converting 37.228 to a Fraction
Step-by-step explanation of how to convert 37.228 to a fraction

Result

37.228 =
9307
250
Mixed number:
37
57
250

Step 1: Identify the number of decimal places

The decimal 37.228 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

37.228 × 1000 = 37228

Step 3: Write as a fraction

37.228 =

37228
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37228 and 1000.

GCD(37228, 1000) = 4

Divide both the numerator and denominator by the GCD:

37228
1000

=

37228 ÷ 4
1000 ÷ 4

=

9307
250
Related Conversions
Other decimal to fraction conversions you might find useful