22/16 added to 34/6 in Fraction Form

The result of 22/16 added to 34/6 is: 7 1/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2216 and 346.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 6 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2216 to 6648
Convert 346 to 27248

Step 4: Add the Numerators

Add the numerators: 66 + 272 = 338

Step 5: Simplify the Fraction

We can simplify 33848 to its lowest form.
The greatest common divisor (GCD) of 338 and 48 is 2.
Dividing both numerator and denominator by the GCD, we get 16924.

Step 6: Convert to Mixed Number

The fraction 16924 can be written as the mixed number 7124.

Final Answer

The result of 22/16 added to 34/6 is:

2216+346=7124

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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