56/233 added to 26/2 in Fraction Form

The result of 56/233 added to 26/2 is: 13 56/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 56233 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 2 is 466.

Step 3: Convert Fractions to Equivalent Fractions

Convert 56233 to 112466
Convert 262 to 6058466

Step 4: Add the Numerators

Add the numerators: 112 + 6058 = 6170

Step 5: Simplify the Fraction

We can simplify 6170466 to its lowest form.
The greatest common divisor (GCD) of 6170 and 466 is 2.
Dividing both numerator and denominator by the GCD, we get 3085233.

Step 6: Convert to Mixed Number

The fraction 3085233 can be written as the mixed number 1356233.

Final Answer

The result of 56/233 added to 26/2 is:

56233+262=1356233

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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