Converting 10.826 to a Fraction
Step-by-step explanation of how to convert 10.826 to a fraction
Result
10.826 =
5413
500
Mixed number:
10
413
500
Step 1: Identify the number of decimal places
The decimal 10.826 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.826 × 1000 = 10826
Step 3: Write as a fraction
10.826 =
10826
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10826 and 1000.
GCD(10826, 1000) = 2
Divide both the numerator and denominator by the GCD:
10826
1000
=
10826 ÷ 2
1000 ÷ 2
=
5413
500
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