33/87 added to 213/4 in Fraction Form

The result of 33/87 added to 213/4 is: 53 73/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3387 and 2134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 4 is 348.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3387 to 132348
Convert 2134 to 18531348

Step 4: Add the Numerators

Add the numerators: 132 + 18531 = 18663

Step 5: Simplify the Fraction

We can simplify 18663348 to its lowest form.
The greatest common divisor (GCD) of 18663 and 348 is 3.
Dividing both numerator and denominator by the GCD, we get 6221116.

Step 6: Convert to Mixed Number

The fraction 6221116 can be written as the mixed number 5373116.

Final Answer

The result of 33/87 added to 213/4 is:

3387+2134=5373116

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

Calculate operations between any two fractions: