19/22 added to 15/6 in Fraction Form

The result of 19/22 added to 15/6 is: 3 4/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1922 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 1922 to 5766
Convert 156 to 16566

Step 4: Add the Numerators

Add the numerators: 57 + 165 = 222

Step 5: Simplify the Fraction

We can simplify 22266 to its lowest form.
The greatest common divisor (GCD) of 222 and 66 is 6.
Dividing both numerator and denominator by the GCD, we get 3711.

Step 6: Convert to Mixed Number

The fraction 3711 can be written as the mixed number 3411.

Final Answer

The result of 19/22 added to 15/6 is:

1922+156=3411

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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