69/149 added to 24/2 in Fraction Form

The result of 69/149 added to 24/2 is: 12 69/149

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69149 and 242.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 2 is 298.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69149 to 138298
Convert 242 to 3576298

Step 4: Add the Numerators

Add the numerators: 138 + 3576 = 3714

Step 5: Simplify the Fraction

We can simplify 3714298 to its lowest form.
The greatest common divisor (GCD) of 3714 and 298 is 2.
Dividing both numerator and denominator by the GCD, we get 1857149.

Step 6: Convert to Mixed Number

The fraction 1857149 can be written as the mixed number 1269149.

Final Answer

The result of 69/149 added to 24/2 is:

69149+242=1269149

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: