63/213 added to 59/4 in Fraction Form

The result of 63/213 added to 59/4 is: 15 13/284

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 63213 and 594.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 63213 to 252852
Convert 594 to 12567852

Step 4: Add the Numerators

Add the numerators: 252 + 12567 = 12819

Step 5: Simplify the Fraction

We can simplify 12819852 to its lowest form.
The greatest common divisor (GCD) of 12819 and 852 is 3.
Dividing both numerator and denominator by the GCD, we get 4273284.

Step 6: Convert to Mixed Number

The fraction 4273284 can be written as the mixed number 1513284.

Final Answer

The result of 63/213 added to 59/4 is:

63213+594=1513284

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: