26/116 added to 4/2 in Fraction Form

The result of 26/116 added to 4/2 is: 2 13/58

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26116 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 116 and 2 is 116.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26116 to 26116
Convert 42 to 232116

Step 4: Add the Numerators

Add the numerators: 26 + 232 = 258

Step 5: Simplify the Fraction

We can simplify 258116 to its lowest form.
The greatest common divisor (GCD) of 258 and 116 is 2.
Dividing both numerator and denominator by the GCD, we get 12958.

Step 6: Convert to Mixed Number

The fraction 12958 can be written as the mixed number 21358.

Final Answer

The result of 26/116 added to 4/2 is:

26116+42=21358

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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