Question

Simplify negative 2 and 1 over 6 - negative 7 and 1 over 3 . (5 points)


negative 5 and 1 over 6

negative 9 and 3 over 6

9 and 3 over 6

5 and 1 over 6

Answer 1

To simplify the expression:

Negative 2 and 1/6 can also be written as -2 - 1/6.
Negative 7 and 1/3 can be written as -7 - 1/3.

Now, we can subtract both expressions:

(-2 - 1/6) - (-7 - 1/3)

We can simplify it further by distributing the negative sign:

-2 - 1/6 + 7 + 1/3

Now we can combine like terms:

-2 + 7 - 1/6 + 1/3

Summing up the integers:

5 - 1/6 + 1/3

To add the fractions, we need to find a common denominator:

The least common multiple (LCM) of 6 and 3 is 6.

- 1/6 = -2/6
1/3 = 2/6

Now we can rewrite the expression with a common denominator:

5 - 2/6 + 2/6

Adding the fractions:

5 + 0 = 5

Therefore, the simplified expression is 5.