82/34 added to 10/6 in Fraction Form

The result of 82/34 added to 10/6 is: 4 4/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8234 and 106.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 6 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8234 to 246102
Convert 106 to 170102

Step 4: Add the Numerators

Add the numerators: 246 + 170 = 416

Step 5: Simplify the Fraction

We can simplify 416102 to its lowest form.
The greatest common divisor (GCD) of 416 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 20851.

Step 6: Convert to Mixed Number

The fraction 20851 can be written as the mixed number 4451.

Final Answer

The result of 82/34 added to 10/6 is:

8234+106=4451

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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