38/26 added to 46/2 in Fraction Form

The result of 38/26 added to 46/2 is: 24 6/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3826 and 462.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3826 to 3826
Convert 462 to 59826

Step 4: Add the Numerators

Add the numerators: 38 + 598 = 636

Step 5: Simplify the Fraction

We can simplify 63626 to its lowest form.
The greatest common divisor (GCD) of 636 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 31813.

Step 6: Convert to Mixed Number

The fraction 31813 can be written as the mixed number 24613.

Final Answer

The result of 38/26 added to 46/2 is:

3826+462=24613

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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