11/182 added to 86/4 in Fraction Form

The result of 11/182 added to 86/4 is: 21 51/91

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11182 and 864.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 4 is 364.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11182 to 22364
Convert 864 to 7826364

Step 4: Add the Numerators

Add the numerators: 22 + 7826 = 7848

Step 5: Simplify the Fraction

We can simplify 7848364 to its lowest form.
The greatest common divisor (GCD) of 7848 and 364 is 4.
Dividing both numerator and denominator by the GCD, we get 196291.

Step 6: Convert to Mixed Number

The fraction 196291 can be written as the mixed number 215191.

Final Answer

The result of 11/182 added to 86/4 is:

11182+864=215191

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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