31/22 added to 39/2 in Fraction Form

The result of 31/22 added to 39/2 is: 20 10/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3122 and 392.

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 3122 to 3122
Convert 392 to 42922

Step 4: Add the Numerators

Add the numerators: 31 + 429 = 460

Step 5: Simplify the Fraction

We can simplify 46022 to its lowest form.
The greatest common divisor (GCD) of 460 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 23011.

Step 6: Convert to Mixed Number

The fraction 23011 can be written as the mixed number 201011.

Final Answer

The result of 31/22 added to 39/2 is:

3122+392=201011

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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