Converting 11.4875 to a Fraction
Step-by-step explanation of how to convert 11.4875 to a fraction
Result
11.4875 =
919
80
Mixed number:
11
39
80
Step 1: Identify the number of decimal places
The decimal 11.4875 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.4875 × 10000 = 114875
Step 3: Write as a fraction
11.4875 =
114875
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 114875 and 10000.
GCD(114875, 10000) = 125
Divide both the numerator and denominator by the GCD:
114875
10000
=
114875 ÷ 125
10000 ÷ 125
=
919
80
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