Converting 11.2784 to a Fraction
Step-by-step explanation of how to convert 11.2784 to a fraction
Result
11.2784 =
7049
625
Mixed number:
11
174
625
Step 1: Identify the number of decimal places
The decimal 11.2784 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.2784 × 10000 = 112784
Step 3: Write as a fraction
11.2784 =
112784
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 112784 and 10000.
GCD(112784, 10000) = 16
Divide both the numerator and denominator by the GCD:
112784
10000
=
112784 ÷ 16
10000 ÷ 16
=
7049
625
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