18/262 added to 13/3 in Fraction Form

The result of 18/262 added to 13/3 is: 4 158/393

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18262 and 133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 262 and 3 is 786.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18262 to 54786
Convert 133 to 3406786

Step 4: Add the Numerators

Add the numerators: 54 + 3406 = 3460

Step 5: Simplify the Fraction

We can simplify 3460786 to its lowest form.
The greatest common divisor (GCD) of 3460 and 786 is 2.
Dividing both numerator and denominator by the GCD, we get 1730393.

Step 6: Convert to Mixed Number

The fraction 1730393 can be written as the mixed number 4158393.

Final Answer

The result of 18/262 added to 13/3 is:

18262+133=4158393

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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