4/24 added to 119/3 in Fraction Form

The result of 4/24 added to 119/3 is: 39 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 424 and 1193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 424 to 424
Convert 1193 to 95224

Step 4: Add the Numerators

Add the numerators: 4 + 952 = 956

Step 5: Simplify the Fraction

We can simplify 95624 to its lowest form.
The greatest common divisor (GCD) of 956 and 24 is 4.
Dividing both numerator and denominator by the GCD, we get 2396.

Step 6: Convert to Mixed Number

The fraction 2396 can be written as the mixed number 3956.

Final Answer

The result of 4/24 added to 119/3 is:

424+1193=3956

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).

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