6 1/2 - 2 5/6 as a Fraction
In this article, we will learn how to simplify the expression 6 1/2 - 2 5/6 as a fraction.
Step 1: Convert the Mixed Numbers to Improper Fractions
To simplify the expression, we need to convert the mixed numbers 6 1/2 and 2 5/6 to improper fractions.
6 1/2 = 13/2 (converting the mixed number to an improper fraction) 2 5/6 = 17/6 (converting the mixed number to an improper fraction)
Step 2: Simplify the Expression
Now that we have the improper fractions, we can simplify the expression:
13/2 - 17/6
To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 6 is 6. So, we can convert the first fraction to have a denominator of 6:
13/2 = 39/6 (converting the first fraction to have a denominator of 6)
Now we can subtract the fractions:
39/6 - 17/6 = 22/6
Step 3: Simplify the Fraction
We can simplify the fraction 22/6 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
22/6 = 11/3
Therefore, the simplified expression of 6 1/2 - 2 5/6 is 11/3.
In conclusion, by converting the mixed numbers to improper fractions, finding a common denominator, and simplifying the expression, we can simplify 6 1/2 - 2 5/6 as 11/3.
