Adding Fractions: 2 1/3 + 3/6
In this article, we will explore how to add two fractions, specifically 2 1/3 and 3/6. We will go through the step-by-step process to find the result of this addition problem.
Converting Mixed Numbers to Improper Fractions
Before we can add the two fractions, we need to convert the mixed number 2 1/3 to an improper fraction.
2 1/3 = ?
To convert a mixed number to an improper fraction, we multiply the whole number part (2) by the denominator (3) and then add the numerator (1).
2 × 3 = 6 6 + 1 = 7
So, 2 1/3 = 7/3.
Now, Let's Add the Fractions
Now that we have converted the mixed number to an improper fraction, we can add the two fractions.
7/3 + 3/6 = ?
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6. So, we can rewrite the first fraction with a denominator of 6.
7/3 = ?/6
To rewrite the fraction, we multiply the numerator and denominator by 2.
7 × 2 = 14 3 × 2 = 6
So, 7/3 = 14/6.
Now, Add the Fractions
Now that we have both fractions with the same denominator, we can add them.
14/6 + 3/6 = ?
To add the fractions, we add the numerators and keep the same denominator.
14 + 3 = 17
So, 14/6 + 3/6 = 17/6.
Simplifying the Result
Finally, we can simplify the result by dividing both the numerator and denominator by their greatest common divisor (GCD).
17/6 = ?
The GCD of 17 and 6 is 1. So, the result is already in its simplest form.
2 1/3 + 3/6 = 17/6
Therefore, the result of adding 2 1/3 and 3/6 is 17/6.
