Converting 11.5378 to a Fraction
Step-by-step explanation of how to convert 11.5378 to a fraction
Result
11.5378 =
57689
5000
Mixed number:
11
2689
5000
Step 1: Identify the number of decimal places
The decimal 11.5378 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.5378 × 10000 = 115378
Step 3: Write as a fraction
11.5378 =
115378
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 115378 and 10000.
GCD(115378, 10000) = 2
Divide both the numerator and denominator by the GCD:
115378
10000
=
115378 ÷ 2
10000 ÷ 2
=
57689
5000
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