15/269 added to 11/4 in Fraction Form

The result of 15/269 added to 11/4 is: 2 867/1076

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15269 and 114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 269 and 4 is 1076.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15269 to 601076
Convert 114 to 29591076

Step 4: Add the Numerators

Add the numerators: 60 + 2959 = 3019

Step 5: Convert to Mixed Number

The fraction 30191076 can be written as the mixed number 28671076.

Final Answer

The result of 15/269 added to 11/4 is:

15269+114=28671076

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).

Fraction Calculator

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