22/21 added to 212/3 in Fraction Form

The result of 22/21 added to 212/3 is: 71 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2221 and 2123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2221 to 2221
Convert 2123 to 148421

Step 4: Add the Numerators

Add the numerators: 22 + 1484 = 1506

Step 5: Simplify the Fraction

We can simplify 150621 to its lowest form.
The greatest common divisor (GCD) of 1506 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 5027.

Step 6: Convert to Mixed Number

The fraction 5027 can be written as the mixed number 7157.

Final Answer

The result of 22/21 added to 212/3 is:

2221+2123=7157

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: