31/13 added to 222/4 in Fraction Form

The result of 31/13 added to 222/4 is: 57 23/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3113 and 2224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3113 to 12452
Convert 2224 to 288652

Step 4: Add the Numerators

Add the numerators: 124 + 2886 = 3010

Step 5: Simplify the Fraction

We can simplify 301052 to its lowest form.
The greatest common divisor (GCD) of 3010 and 52 is 2.
Dividing both numerator and denominator by the GCD, we get 150526.

Step 6: Convert to Mixed Number

The fraction 150526 can be written as the mixed number 572326.

Final Answer

The result of 31/13 added to 222/4 is:

3113+2224=572326

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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