Converting 16.3724 to a Fraction
Step-by-step explanation of how to convert 16.3724 to a fraction

Result

16.3724 =
40931
2500
Mixed number:
16
931
2500

Step 1: Identify the number of decimal places

The decimal 16.3724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.3724 × 10000 = 163724

Step 3: Write as a fraction

16.3724 =

163724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 163724 and 10000.

GCD(163724, 10000) = 4

Divide both the numerator and denominator by the GCD:

163724
10000

=

163724 ÷ 4
10000 ÷ 4

=

40931
2500
Related Conversions
Other decimal to fraction conversions you might find useful