10/26 added to 236/3 in Fraction Form

The result of 10/26 added to 236/3 is: 79 2/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1026 and 2363.

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 1026 to 3078
Convert 2363 to 613678

Step 4: Add the Numerators

Add the numerators: 30 + 6136 = 6166

Step 5: Simplify the Fraction

We can simplify 616678 to its lowest form.
The greatest common divisor (GCD) of 6166 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 308339.

Step 6: Convert to Mixed Number

The fraction 308339 can be written as the mixed number 79239.

Final Answer

The result of 10/26 added to 236/3 is:

1026+2363=79239

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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