Converting 15.275 to a Fraction
Step-by-step explanation of how to convert 15.275 to a fraction
Result
15.275 =
611
40
Mixed number:
15
11
40
Step 1: Identify the number of decimal places
The decimal 15.275 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.275 × 1000 = 15275
Step 3: Write as a fraction
15.275 =
15275
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15275 and 1000.
GCD(15275, 1000) = 25
Divide both the numerator and denominator by the GCD:
15275
1000
=
15275 ÷ 25
1000 ÷ 25
=
611
40
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