(-3p) x 2 1/6 divide (-1/13p)

Answer 1

To simplify the expression, we can start by multiplying -3p and 2 1/6:

-3p × 2 1/6

First, let's convert the mixed number 2 1/6 to an improper fraction. To do this, we multiply the whole number (2) by the denominator (6) and add the numerator (1):

2 × 6 = 12

12 + 1 = 13

So, 2 1/6 is equivalent to 13/6.

Now we can rewrite the expression:

-3p × 13/6

To divide by -1/13p, we can multiply by its reciprocal:

-3p × 13/6 × -p/1/13

Simplifying, we have:

-3p × 13/6 × -p × 13/(-1)

Multiplying the coefficients and the variable, we get:

(3 × 13 × p × p) / (6 × 13 × 1)

Simplifying further:

(39p²) / (78)

The simplified expression is 39p² / 78.