Which expression is equivalent to quantity negative three and one third times d plus three fourths end quantity minus quantity three and five sixths times d plus seven eighths end quantity?

Answer 1

To simplify this expression, we need to distribute and combine like terms.

The expression can be written as:
(-3 1/3)d + 3/4 - (3 5/6)d - 7/8

First, let's distribute the negative sign throughout the second quantity:
(-3 1/3)d + 3/4 - 3(5/6)d - 3(7/8)

Now, we can simplify each of the terms:
(-3)d - (1/3)d + 3/4 - (15/6)d - (21/8)

Simplifying the fractions:
-3d - (1/3)d + 3/4 - (5/2)d - (21/8)

Next, let's combine like terms:
-3d - (1/3)d - (5/2)d + 3/4 - 21/8

To combine the fractions, we need a common denominator:
-3d - (8/24)d - (60/24)d + 6/8 - 21/8

In the terms -3d and - (8/24)d, we notice that the fractions have a common denominator of 24. We can combine these terms:
-71/24 d + 6/8 - 21/8

Now, let's combine the fractions in the same way:
-71/24 d + (6 - 21)/8

Simplifying the numerator:
-71/24 d - 15/8

Therefore, the expression is equivalent to:
-71/24d - 15/8