Converting 10.9824 to a Fraction
Step-by-step explanation of how to convert 10.9824 to a fraction
Result
10.9824 =
6864
625
Mixed number:
10
614
625
Step 1: Identify the number of decimal places
The decimal 10.9824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.9824 × 10000 = 109824
Step 3: Write as a fraction
10.9824 =
109824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 109824 and 10000.
GCD(109824, 10000) = 16
Divide both the numerator and denominator by the GCD:
109824
10000
=
109824 ÷ 16
10000 ÷ 16
=
6864
625
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