7/223 added to 34/2 in Fraction Form

The result of 7/223 added to 34/2 is: 17 7/223

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7223 and 342.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 223 and 2 is 446.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7223 to 14446
Convert 342 to 7582446

Step 4: Add the Numerators

Add the numerators: 14 + 7582 = 7596

Step 5: Simplify the Fraction

We can simplify 7596446 to its lowest form.
The greatest common divisor (GCD) of 7596 and 446 is 2.
Dividing both numerator and denominator by the GCD, we get 3798223.

Step 6: Convert to Mixed Number

The fraction 3798223 can be written as the mixed number 177223.

Final Answer

The result of 7/223 added to 34/2 is:

7223+342=177223

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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