22/214 added to 26/3 in Fraction Form

The result of 22/214 added to 26/3 is: 8 247/321

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22214 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 3 is 642.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22214 to 66642
Convert 263 to 5564642

Step 4: Add the Numerators

Add the numerators: 66 + 5564 = 5630

Step 5: Simplify the Fraction

We can simplify 5630642 to its lowest form.
The greatest common divisor (GCD) of 5630 and 642 is 2.
Dividing both numerator and denominator by the GCD, we get 2815321.

Step 6: Convert to Mixed Number

The fraction 2815321 can be written as the mixed number 8247321.

Final Answer

The result of 22/214 added to 26/3 is:

22214+263=8247321

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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