118/57 added to 82/4 in Fraction Form

The result of 118/57 added to 82/4 is: 22 65/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11857 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11857 to 472228
Convert 824 to 4674228

Step 4: Add the Numerators

Add the numerators: 472 + 4674 = 5146

Step 5: Simplify the Fraction

We can simplify 5146228 to its lowest form.
The greatest common divisor (GCD) of 5146 and 228 is 2.
Dividing both numerator and denominator by the GCD, we get 2573114.

Step 6: Convert to Mixed Number

The fraction 2573114 can be written as the mixed number 2265114.

Final Answer

The result of 118/57 added to 82/4 is:

11857+824=2265114

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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