11/265 added to 10/4 in Fraction Form

The result of 11/265 added to 10/4 is: 2 287/530

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11265 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 265 and 4 is 1060.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11265 to 441060
Convert 104 to 26501060

Step 4: Add the Numerators

Add the numerators: 44 + 2650 = 2694

Step 5: Simplify the Fraction

We can simplify 26941060 to its lowest form.
The greatest common divisor (GCD) of 2694 and 1060 is 2.
Dividing both numerator and denominator by the GCD, we get 1347530.

Step 6: Convert to Mixed Number

The fraction 1347530 can be written as the mixed number 2287530.

Final Answer

The result of 11/265 added to 10/4 is:

11265+104=2287530

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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