Converting 10.9489 to a Fraction
Step-by-step explanation of how to convert 10.9489 to a fraction

Result

10.9489 =
109489
10000
Mixed number:
10
9489
10000

Step 1: Identify the number of decimal places

The decimal 10.9489 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9489 × 10000 = 109489

Step 3: Write as a fraction

10.9489 =

109489
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109489 and 10000.

GCD(109489, 10000) = 1

Divide both the numerator and denominator by the GCD:

109489
10000

=

109489 ÷ 1
10000 ÷ 1

=

109489
10000
Related Conversions
Other decimal to fraction conversions you might find useful