Converting 10.8224 to a Fraction
Step-by-step explanation of how to convert 10.8224 to a fraction
Result
10.8224 =
6764
625
Mixed number:
10
514
625
Step 1: Identify the number of decimal places
The decimal 10.8224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.8224 × 10000 = 108224
Step 3: Write as a fraction
10.8224 =
108224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 108224 and 10000.
GCD(108224, 10000) = 16
Divide both the numerator and denominator by the GCD:
108224
10000
=
108224 ÷ 16
10000 ÷ 16
=
6764
625
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