24/119 added to 22/4 in Fraction Form

The result of 24/119 added to 22/4 is: 5 167/238

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24119 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 119 and 4 is 476.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24119 to 96476
Convert 224 to 2618476

Step 4: Add the Numerators

Add the numerators: 96 + 2618 = 2714

Step 5: Simplify the Fraction

We can simplify 2714476 to its lowest form.
The greatest common divisor (GCD) of 2714 and 476 is 2.
Dividing both numerator and denominator by the GCD, we get 1357238.

Step 6: Convert to Mixed Number

The fraction 1357238 can be written as the mixed number 5167238.

Final Answer

The result of 24/119 added to 22/4 is:

24119+224=5167238

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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