2/238 added to 26/3 in Fraction Form

The result of 2/238 added to 26/3 is: 8 241/357

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2238 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 3 is 714.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2238 to 6714
Convert 263 to 6188714

Step 4: Add the Numerators

Add the numerators: 6 + 6188 = 6194

Step 5: Simplify the Fraction

We can simplify 6194714 to its lowest form.
The greatest common divisor (GCD) of 6194 and 714 is 2.
Dividing both numerator and denominator by the GCD, we get 3097357.

Step 6: Convert to Mixed Number

The fraction 3097357 can be written as the mixed number 8241357.

Final Answer

The result of 2/238 added to 26/3 is:

2238+263=8241357

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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