Converting 15.266 to a Fraction
Step-by-step explanation of how to convert 15.266 to a fraction
Result
15.266 =
7633
500
Mixed number:
15
133
500
Step 1: Identify the number of decimal places
The decimal 15.266 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.266 × 1000 = 15266
Step 3: Write as a fraction
15.266 =
15266
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15266 and 1000.
GCD(15266, 1000) = 2
Divide both the numerator and denominator by the GCD:
15266
1000
=
15266 ÷ 2
1000 ÷ 2
=
7633
500
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