64/79 added to 26/2 in Fraction Form

The result of 64/79 added to 26/2 is: 13 64/79

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6479 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 79 and 2 is 158.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6479 to 128158
Convert 262 to 2054158

Step 4: Add the Numerators

Add the numerators: 128 + 2054 = 2182

Step 5: Simplify the Fraction

We can simplify 2182158 to its lowest form.
The greatest common divisor (GCD) of 2182 and 158 is 2.
Dividing both numerator and denominator by the GCD, we get 109179.

Step 6: Convert to Mixed Number

The fraction 109179 can be written as the mixed number 136479.

Final Answer

The result of 64/79 added to 26/2 is:

6479+262=136479

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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