Converting 37.6224 to a Fraction
Step-by-step explanation of how to convert 37.6224 to a fraction

Result

37.6224 =
23514
625
Mixed number:
37
389
625

Step 1: Identify the number of decimal places

The decimal 37.6224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.6224 × 10000 = 376224

Step 3: Write as a fraction

37.6224 =

376224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 376224 and 10000.

GCD(376224, 10000) = 16

Divide both the numerator and denominator by the GCD:

376224
10000

=

376224 ÷ 16
10000 ÷ 16

=

23514
625
Related Conversions
Other decimal to fraction conversions you might find useful