Converting 10.9808 to a Fraction
Step-by-step explanation of how to convert 10.9808 to a fraction

Result

10.9808 =
6863
625
Mixed number:
10
613
625

Step 1: Identify the number of decimal places

The decimal 10.9808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9808 × 10000 = 109808

Step 3: Write as a fraction

10.9808 =

109808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109808 and 10000.

GCD(109808, 10000) = 16

Divide both the numerator and denominator by the GCD:

109808
10000

=

109808 ÷ 16
10000 ÷ 16

=

6863
625
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