Converting 13.82 to a Fraction
Step-by-step explanation of how to convert 13.82 to a fraction
Result
13.82 =
691
50
Mixed number:
13
41
50
Step 1: Identify the number of decimal places
The decimal 13.82 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
13.82 × 100 = 1382
Step 3: Write as a fraction
13.82 =
1382
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1382 and 100.
GCD(1382, 100) = 2
Divide both the numerator and denominator by the GCD:
1382
100
=
1382 ÷ 2
100 ÷ 2
=
691
50
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