10/5 added to 10/6 in Fraction Form

The result of 10/5 added to 10/6 is: 3 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 105 and 106.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 6 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 105 to 6030
Convert 106 to 5030

Step 4: Add the Numerators

Add the numerators: 60 + 50 = 110

Step 5: Simplify the Fraction

We can simplify 11030 to its lowest form.
The greatest common divisor (GCD) of 110 and 30 is 10.
Dividing both numerator and denominator by the GCD, we get 113.

Step 6: Convert to Mixed Number

The fraction 113 can be written as the mixed number 323.

Final Answer

The result of 10/5 added to 10/6 is:

105+106=323

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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