Converting 10.6898 to a Fraction
Step-by-step explanation of how to convert 10.6898 to a fraction

Result

10.6898 =
53449
5000
Mixed number:
10
3449
5000

Step 1: Identify the number of decimal places

The decimal 10.6898 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.6898 × 10000 = 106898

Step 3: Write as a fraction

10.6898 =

106898
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 106898 and 10000.

GCD(106898, 10000) = 2

Divide both the numerator and denominator by the GCD:

106898
10000

=

106898 ÷ 2
10000 ÷ 2

=

53449
5000
Related Conversions
Other decimal to fraction conversions you might find useful