11/238 added to 10/4 in Fraction Form

The result of 11/238 added to 10/4 is: 2 65/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11238 and 104.

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 11238 to 22476
Convert 104 to 1190476

Step 4: Add the Numerators

Add the numerators: 22 + 1190 = 1212

Step 5: Simplify the Fraction

We can simplify 1212476 to its lowest form.
The greatest common divisor (GCD) of 1212 and 476 is 4.
Dividing both numerator and denominator by the GCD, we get 303119.

Step 6: Convert to Mixed Number

The fraction 303119 can be written as the mixed number 265119.

Final Answer

The result of 11/238 added to 10/4 is:

11238+104=265119

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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