22/121 added to 11/4 in Fraction Form

The result of 22/121 added to 11/4 is: 2 41/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22121 and 114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 121 and 4 is 484.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22121 to 88484
Convert 114 to 1331484

Step 4: Add the Numerators

Add the numerators: 88 + 1331 = 1419

Step 5: Simplify the Fraction

We can simplify 1419484 to its lowest form.
The greatest common divisor (GCD) of 1419 and 484 is 11.
Dividing both numerator and denominator by the GCD, we get 12944.

Step 6: Convert to Mixed Number

The fraction 12944 can be written as the mixed number 24144.

Final Answer

The result of 22/121 added to 11/4 is:

22121+114=24144

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: