26/232 added to 19/2 in Fraction Form

The result of 26/232 added to 19/2 is: 9 71/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26232 and 192.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 2 is 232.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26232 to 26232
Convert 192 to 2204232

Step 4: Add the Numerators

Add the numerators: 26 + 2204 = 2230

Step 5: Simplify the Fraction

We can simplify 2230232 to its lowest form.
The greatest common divisor (GCD) of 2230 and 232 is 2.
Dividing both numerator and denominator by the GCD, we get 1115116.

Step 6: Convert to Mixed Number

The fraction 1115116 can be written as the mixed number 971116.

Final Answer

The result of 26/232 added to 19/2 is:

26232+192=971116

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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