221/23 added to 26/4 in Fraction Form

The result of 221/23 added to 26/4 is: 16 5/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22123 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 4 is 92.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22123 to 88492
Convert 264 to 59892

Step 4: Add the Numerators

Add the numerators: 884 + 598 = 1482

Step 5: Simplify the Fraction

We can simplify 148292 to its lowest form.
The greatest common divisor (GCD) of 1482 and 92 is 2.
Dividing both numerator and denominator by the GCD, we get 74146.

Step 6: Convert to Mixed Number

The fraction 74146 can be written as the mixed number 16546.

Final Answer

The result of 221/23 added to 26/4 is:

22123+264=16546

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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