76/26 added to 5/3 in Fraction Form

The result of 76/26 added to 5/3 is: 4 23/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7626 and 53.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7626 to 22878
Convert 53 to 13078

Step 4: Add the Numerators

Add the numerators: 228 + 130 = 358

Step 5: Simplify the Fraction

We can simplify 35878 to its lowest form.
The greatest common divisor (GCD) of 358 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 17939.

Step 6: Convert to Mixed Number

The fraction 17939 can be written as the mixed number 42339.

Final Answer

The result of 76/26 added to 5/3 is:

7626+53=42339

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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