8/222 added to 34/3 in Fraction Form

The result of 8/222 added to 34/3 is: 11 41/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8222 and 343.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8222 to 8222
Convert 343 to 2516222

Step 4: Add the Numerators

Add the numerators: 8 + 2516 = 2524

Step 5: Simplify the Fraction

We can simplify 2524222 to its lowest form.
The greatest common divisor (GCD) of 2524 and 222 is 2.
Dividing both numerator and denominator by the GCD, we get 1262111.

Step 6: Convert to Mixed Number

The fraction 1262111 can be written as the mixed number 1141111.

Final Answer

The result of 8/222 added to 34/3 is:

8222+343=1141111

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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