63/32 added to 213/3 in Fraction Form

The result of 63/32 added to 213/3 is: 72 31/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6332 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 3 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6332 to 18996
Convert 2133 to 681696

Step 4: Add the Numerators

Add the numerators: 189 + 6816 = 7005

Step 5: Simplify the Fraction

We can simplify 700596 to its lowest form.
The greatest common divisor (GCD) of 7005 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get 233532.

Step 6: Convert to Mixed Number

The fraction 233532 can be written as the mixed number 723132.

Final Answer

The result of 63/32 added to 213/3 is:

6332+2133=723132

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: