Subtract 1 3/4-(-2/3)

Answer 1

To subtract the fractions 1 3/4 and -2/3, we first change the mixed number 1 3/4 to an improper fraction.

1 3/4 = (4*1 + 3)/4 = 7/4

So, the problem becomes:

7/4 - (-2/3)

To subtract fractions, we need a common denominator. The common denominator for 4 and 3 is 12.

Now, we need to convert both fractions to have a denominator of 12.

To convert 7/4:
(7/4) * (3/3) = 21/12

To convert -2/3:
(-2/3) * (4/4) = -8/12

Now, our problem is:
21/12 - (-8/12)

When we subtract two negative numbers, it becomes addition. So, the problem now is:
21/12 + 8/12

Adding the numerators, we get:
29/12

Therefore, 1 3/4 - (-2/3) is equal to 29/12.