Converting 11.475 to a Fraction
Step-by-step explanation of how to convert 11.475 to a fraction
Result
11.475 =
459
40
Mixed number:
11
19
40
Step 1: Identify the number of decimal places
The decimal 11.475 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.475 × 1000 = 11475
Step 3: Write as a fraction
11.475 =
11475
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11475 and 1000.
GCD(11475, 1000) = 25
Divide both the numerator and denominator by the GCD:
11475
1000
=
11475 ÷ 25
1000 ÷ 25
=
459
40
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