11/49 added to 232/2 in Fraction Form

The result of 11/49 added to 232/2 is: 116 11/49

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1149 and 2322.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 2 is 98.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1149 to 2298
Convert 2322 to 1136898

Step 4: Add the Numerators

Add the numerators: 22 + 11368 = 11390

Step 5: Simplify the Fraction

We can simplify 1139098 to its lowest form.
The greatest common divisor (GCD) of 11390 and 98 is 2.
Dividing both numerator and denominator by the GCD, we get 569549.

Step 6: Convert to Mixed Number

The fraction 569549 can be written as the mixed number 1161149.

Final Answer

The result of 11/49 added to 232/2 is:

1149+2322=1161149

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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