102/26 added to 76/4 in Fraction Form

The result of 102/26 added to 76/4 is: 22 12/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10226 and 764.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10226 to 20452
Convert 764 to 98852

Step 4: Add the Numerators

Add the numerators: 204 + 988 = 1192

Step 5: Simplify the Fraction

We can simplify 119252 to its lowest form.
The greatest common divisor (GCD) of 1192 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get 29813.

Step 6: Convert to Mixed Number

The fraction 29813 can be written as the mixed number 221213.

Final Answer

The result of 102/26 added to 76/4 is:

10226+764=221213

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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