69/182 added to 21/6 in Fraction Form

The result of 69/182 added to 21/6 is: 3 80/91

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69182 and 216.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 6 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69182 to 207546
Convert 216 to 1911546

Step 4: Add the Numerators

Add the numerators: 207 + 1911 = 2118

Step 5: Simplify the Fraction

We can simplify 2118546 to its lowest form.
The greatest common divisor (GCD) of 2118 and 546 is 6.
Dividing both numerator and denominator by the GCD, we get 35391.

Step 6: Convert to Mixed Number

The fraction 35391 can be written as the mixed number 38091.

Final Answer

The result of 69/182 added to 21/6 is:

69182+216=38091

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: