Question

-5 1/4 *(-2 2/3) -14 14 10 2/12

Answer 1

To calculate the expression -5 1/4 * (-2 2/3) - 14 14 10 2/12, let's break it down step by step.

First, let's convert the mixed numbers to improper fractions:

-5 1/4 = -(5 * 4 + 1) / 4 = -21/4 -2 2/3 = -(2 * 3 + 2) / 3 = -8/3

Next, let's multiply the two fractions:

(-21/4) * (-8/3) = (21/4) * (8/3) = 168/12

Now, let's simplify the fraction:

168/12 = 14

So, the first part of the expression, -5 1/4 * (-2 2/3), is equal to 14.

Now, let's calculate the second part of the expression:

-14 14 10 2/12 = -14 - 14 - 10 - (2/12) = -38 - (2/12)

To subtract fractions, we need to find a common denominator. The common denominator for 12 and 1 is 12.

-38 - (2/12) = -38 - (2/12) * (12/12) = -38 - 24/12

Now, let's subtract the fractions:

-38 - 24/12 = -38 - 2 = -40

Therefore, the second part of the expression, -14 14 10 2/12, is equal to -40.

Finally, we subtract the second part from the first part:

14 - (-40) = 14 + 40 = 54

Therefore, the expression -5 1/4 * (-2 2/3) - 14 14 10 2/12 equals 54.