15/265 added to 11/3 in Fraction Form

The result of 15/265 added to 11/3 is: 3 115/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15265 and 113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 265 and 3 is 795.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15265 to 45795
Convert 113 to 2915795

Step 4: Add the Numerators

Add the numerators: 45 + 2915 = 2960

Step 5: Simplify the Fraction

We can simplify 2960795 to its lowest form.
The greatest common divisor (GCD) of 2960 and 795 is 5.
Dividing both numerator and denominator by the GCD, we get 592159.

Step 6: Convert to Mixed Number

The fraction 592159 can be written as the mixed number 3115159.

Final Answer

The result of 15/265 added to 11/3 is:

15265+113=3115159

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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