26/112 added to 109/4 in Fraction Form

The result of 26/112 added to 109/4 is: 27 27/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26112 and 1094.

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 26112 to 26112
Convert 1094 to 3052112

Step 4: Add the Numerators

Add the numerators: 26 + 3052 = 3078

Step 5: Simplify the Fraction

We can simplify 3078112 to its lowest form.
The greatest common divisor (GCD) of 3078 and 112 is 2.
Dividing both numerator and denominator by the GCD, we get 153956.

Step 6: Convert to Mixed Number

The fraction 153956 can be written as the mixed number 272756.

Final Answer

The result of 26/112 added to 109/4 is:

26112+1094=272756

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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