26/222 added to 17/3 in Fraction Form

The result of 26/222 added to 17/3 is: 5 29/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26222 and 173.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26222 to 26222
Convert 173 to 1258222

Step 4: Add the Numerators

Add the numerators: 26 + 1258 = 1284

Step 5: Simplify the Fraction

We can simplify 1284222 to its lowest form.
The greatest common divisor (GCD) of 1284 and 222 is 6.
Dividing both numerator and denominator by the GCD, we get 21437.

Step 6: Convert to Mixed Number

The fraction 21437 can be written as the mixed number 52937.

Final Answer

The result of 26/222 added to 17/3 is:

26222+173=52937

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: