Converting 15.4436 to a Fraction
Step-by-step explanation of how to convert 15.4436 to a fraction

Result

15.4436 =
38609
2500
Mixed number:
15
1109
2500

Step 1: Identify the number of decimal places

The decimal 15.4436 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.4436 × 10000 = 154436

Step 3: Write as a fraction

15.4436 =

154436
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 154436 and 10000.

GCD(154436, 10000) = 4

Divide both the numerator and denominator by the GCD:

154436
10000

=

154436 ÷ 4
10000 ÷ 4

=

38609
2500
Related Conversions
Other decimal to fraction conversions you might find useful