103/101 added to 122/4 in Fraction Form

The result of 103/101 added to 122/4 is: 31 105/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 103101 and 1224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 103101 to 412404
Convert 1224 to 12322404

Step 4: Add the Numerators

Add the numerators: 412 + 12322 = 12734

Step 5: Simplify the Fraction

We can simplify 12734404 to its lowest form.
The greatest common divisor (GCD) of 12734 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 6367202.

Step 6: Convert to Mixed Number

The fraction 6367202 can be written as the mixed number 31105202.

Final Answer

The result of 103/101 added to 122/4 is:

103101+1224=31105202

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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