67/213 added to 19/3 in Fraction Form

The result of 67/213 added to 19/3 is: 6 46/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67213 and 193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67213 to 67213
Convert 193 to 1349213

Step 4: Add the Numerators

Add the numerators: 67 + 1349 = 1416

Step 5: Simplify the Fraction

We can simplify 1416213 to its lowest form.
The greatest common divisor (GCD) of 1416 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 47271.

Step 6: Convert to Mixed Number

The fraction 47271 can be written as the mixed number 64671.

Final Answer

The result of 67/213 added to 19/3 is:

67213+193=64671

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: