39/22 added to 15/6 in Fraction Form

The result of 39/22 added to 15/6 is: 4 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3922 and 156.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 6 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3922 to 11766
Convert 156 to 16566

Step 4: Add the Numerators

Add the numerators: 117 + 165 = 282

Step 5: Simplify the Fraction

We can simplify 28266 to its lowest form.
The greatest common divisor (GCD) of 282 and 66 is 6.
Dividing both numerator and denominator by the GCD, we get 4711.

Step 6: Convert to Mixed Number

The fraction 4711 can be written as the mixed number 4311.

Final Answer

The result of 39/22 added to 15/6 is:

3922+156=4311

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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