Question

Which expression is equivalent to -3/8 over -1/4?
A. 3/8
B. -6
C. 1.5
D. 12/8.

Answer 1

The expression equivalent to -3/8 over -1/4 is 1.5 when we multiply -3/8 by the reciprocal of -1/4, which simplifies to 3/2 and is equal to 1.5.

Step-by-step explanation:

To find which expression is equivalent to -3/8 over -1/4, also known as -3/8 divided by -1/4, we need to multiply the first fraction, -3/8, by the reciprocal of the second fraction, which is -4/1 because dividing by a fraction is the same as multiplying by its reciprocal.

Let's perform the multiplication step-by-step:

1. Multiply the numerators: -3 × -4 = 12.
2. Multiply the denominators: 8 × 1 = 8.
3. Combine the results: 12 over 8, which simplifies to 3 over 2 after dividing both numerator and denominator by 4.
4. As a decimal, 3 over 2 is equivalent to 1.5.

Thus, the expression equivalent to -3/8 over -1/4 is 1.5, and the correct answer is C.