Question

Write a different expression that has the same quotient as (-3)/8 and -(3/8).

a) 3/8
b) 3/8h
c) -3/8
d) -3/8h

Answer 1

The expression that has the same quotient as (-3)/8 and -(3/8) is (c) -3/8, as it directly matches the negative fraction of the original expressions.

Step-by-step explanation:

The student asked for a different expression that has the same quotient as (-3)/8 and -(3/8).

When looking at the options provided:

• (a) 3/8: This is the positive form of the fraction 3/8, so it does not match either of the original expressions.
• (b) 3/8h: Without additional context for the variable 'h', this cannot be matched with the original expressions.
• (c) -3/8: This option is identical to -(3/8), thus having the same quotient.
• (d) -3/8h: Similar to option b, without knowing what 'h' represents, it cannot be determined to have the same quotient as the original expressions.

From the choices given, (c) -3/8 is the expression that has the same quotient as (-3)/8 and -(3/8).