Converting 0.9489 to a Fraction
Step-by-step explanation of how to convert 0.9489 to a fraction

Result

0.9489 =
9489
10000

Step 1: Identify the number of decimal places

The decimal 0.9489 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.9489 × 10000 = 9489

Step 3: Write as a fraction

0.9489 =

9489
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9489 and 10000.

GCD(9489, 10000) = 1

Divide both the numerator and denominator by the GCD:

9489
10000

=

9489 ÷ 1
10000 ÷ 1

=

9489
10000
Related Conversions
Other decimal to fraction conversions you might find useful