118/112 added to 44/4 in Fraction Form

The result of 118/112 added to 44/4 is: 12 3/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118112 and 444.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 4 is 112.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118112 to 118112
Convert 444 to 1232112

Step 4: Add the Numerators

Add the numerators: 118 + 1232 = 1350

Step 5: Simplify the Fraction

We can simplify 1350112 to its lowest form.
The greatest common divisor (GCD) of 1350 and 112 is 2.
Dividing both numerator and denominator by the GCD, we get 67556.

Step 6: Convert to Mixed Number

The fraction 67556 can be written as the mixed number 12356.

Final Answer

The result of 118/112 added to 44/4 is:

118112+444=12356

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).

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