61/22 added to 213/2 in Fraction Form

The result of 61/22 added to 213/2 is: 109 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6122 and 2132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6122 to 6122
Convert 2132 to 234322

Step 4: Add the Numerators

Add the numerators: 61 + 2343 = 2404

Step 5: Simplify the Fraction

We can simplify 240422 to its lowest form.
The greatest common divisor (GCD) of 2404 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 120211.

Step 6: Convert to Mixed Number

The fraction 120211 can be written as the mixed number 109311.

Final Answer

The result of 61/22 added to 213/2 is:

6122+2132=109311

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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