21/181 added to 118/4 in Fraction Form

The result of 21/181 added to 118/4 is: 29 223/362

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21181 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 181 and 4 is 724.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21181 to 84724
Convert 1184 to 21358724

Step 4: Add the Numerators

Add the numerators: 84 + 21358 = 21442

Step 5: Simplify the Fraction

We can simplify 21442724 to its lowest form.
The greatest common divisor (GCD) of 21442 and 724 is 2.
Dividing both numerator and denominator by the GCD, we get 10721362.

Step 6: Convert to Mixed Number

The fraction 10721362 can be written as the mixed number 29223362.

Final Answer

The result of 21/181 added to 118/4 is:

21181+1184=29223362

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: