26/5 added to 30/6 in Fraction Form

The result of 26/5 added to 30/6 is: 10 1/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 265 and 306.

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 265 to 15630
Convert 306 to 15030

Step 4: Add the Numerators

Add the numerators: 156 + 150 = 306

Step 5: Simplify the Fraction

We can simplify 30630 to its lowest form.
The greatest common divisor (GCD) of 306 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 515.

Step 6: Convert to Mixed Number

The fraction 515 can be written as the mixed number 1015.

Final Answer

The result of 26/5 added to 30/6 is:

265+306=1015

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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