Find the value of the expression given below

Question

4 2/3-1 1:6

Answer 1

To find the value of the expression 4 2/3 - 1 1:6, we need to convert both mixed numbers to improper fractions.

Converting 4 2/3 to an improper fraction:
4 * 3 = 12
12 + 2 = 14

So, 4 2/3 as an improper fraction is 14/3.

Converting 1 1:6 to an improper fraction:
1 * 6 = 6
6 + 1 = 7

So, 1 1:6 as an improper fraction is 7/6.

Now we can subtract the two fractions:
14/3 - 7/6

To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6.

Let's convert both fractions to have the common denominator of 6:
14/3 * 2/2 = 28/6

Now, we can subtract the fractions:
28/6 - 7/6 = (28 - 7)/6 = 21/6 = 7/2

Therefore, the value of the expression 4 2/3 - 1 1:6 is 7/2 or 3 1/2.