69/238 added to 11/4 in Fraction Form

The result of 69/238 added to 11/4 is: 3 19/476

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69238 and 114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 4 is 476.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69238 to 138476
Convert 114 to 1309476

Step 4: Add the Numerators

Add the numerators: 138 + 1309 = 1447

Step 5: Convert to Mixed Number

The fraction 1447476 can be written as the mixed number 319476.

Final Answer

The result of 69/238 added to 11/4 is:

69238+114=319476

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

Calculate operations between any two fractions: