233/31 added to 26/4 in Fraction Form

The result of 233/31 added to 26/4 is: 14 1/62

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23331 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 31 and 4 is 124.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23331 to 932124
Convert 264 to 806124

Step 4: Add the Numerators

Add the numerators: 932 + 806 = 1738

Step 5: Simplify the Fraction

We can simplify 1738124 to its lowest form.
The greatest common divisor (GCD) of 1738 and 124 is 2.
Dividing both numerator and denominator by the GCD, we get 86962.

Step 6: Convert to Mixed Number

The fraction 86962 can be written as the mixed number 14162.

Final Answer

The result of 233/31 added to 26/4 is:

23331+264=14162

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

Calculate operations between any two fractions: