6/238 added to 26/4 in Fraction Form

The result of 6/238 added to 26/4 is: 6 125/238

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6238 and 264.

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 6238 to 12476
Convert 264 to 3094476

Step 4: Add the Numerators

Add the numerators: 12 + 3094 = 3106

Step 5: Simplify the Fraction

We can simplify 3106476 to its lowest form.
The greatest common divisor (GCD) of 3106 and 476 is 2.
Dividing both numerator and denominator by the GCD, we get 1553238.

Step 6: Convert to Mixed Number

The fraction 1553238 can be written as the mixed number 6125238.

Final Answer

The result of 6/238 added to 26/4 is:

6238+264=6125238

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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