Converting 11.826 to a Fraction
Step-by-step explanation of how to convert 11.826 to a fraction
Result
11.826 =
5913
500
Mixed number:
11
413
500
Step 1: Identify the number of decimal places
The decimal 11.826 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.826 × 1000 = 11826
Step 3: Write as a fraction
11.826 =
11826
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11826 and 1000.
GCD(11826, 1000) = 2
Divide both the numerator and denominator by the GCD:
11826
1000
=
11826 ÷ 2
1000 ÷ 2
=
5913
500
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