Converting 10.5498 to a Fraction
Step-by-step explanation of how to convert 10.5498 to a fraction

Result

10.5498 =
52749
5000
Mixed number:
10
2749
5000

Step 1: Identify the number of decimal places

The decimal 10.5498 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.5498 × 10000 = 105498

Step 3: Write as a fraction

10.5498 =

105498
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 105498 and 10000.

GCD(105498, 10000) = 2

Divide both the numerator and denominator by the GCD:

105498
10000

=

105498 ÷ 2
10000 ÷ 2

=

52749
5000
Related Conversions
Other decimal to fraction conversions you might find useful