Converting 10.814 to a Fraction
Step-by-step explanation of how to convert 10.814 to a fraction
Result
10.814 =
5407
500
Mixed number:
10
407
500
Step 1: Identify the number of decimal places
The decimal 10.814 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.814 × 1000 = 10814
Step 3: Write as a fraction
10.814 =
10814
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10814 and 1000.
GCD(10814, 1000) = 2
Divide both the numerator and denominator by the GCD:
10814
1000
=
10814 ÷ 2
1000 ÷ 2
=
5407
500
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