7/34 added to 13/6 in Fraction Form

The result of 7/34 added to 13/6 is: 2 19/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 734 and 136.

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 734 to 21102
Convert 136 to 221102

Step 4: Add the Numerators

Add the numerators: 21 + 221 = 242

Step 5: Simplify the Fraction

We can simplify 242102 to its lowest form.
The greatest common divisor (GCD) of 242 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 12151.

Step 6: Convert to Mixed Number

The fraction 12151 can be written as the mixed number 21951.

Final Answer

The result of 7/34 added to 13/6 is:

734+136=21951

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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