26/78 added to 202/3 in Fraction Form

The result of 26/78 added to 202/3 is: 67 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2678 and 2023.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 2678 to 2678
Convert 2023 to 525278

Step 4: Add the Numerators

Add the numerators: 26 + 5252 = 5278

Step 5: Simplify the Fraction

We can simplify 527878 to its lowest form.
The greatest common divisor (GCD) of 5278 and 78 is 26.
Dividing both numerator and denominator by the GCD, we get 2033.

Step 6: Convert to Mixed Number

The fraction 2033 can be written as the mixed number 6723.

Final Answer

The result of 26/78 added to 202/3 is:

2678+2023=6723

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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