Question

Simplify negative 6 and 1 over 4 – negative 2 and 1 over 8.

A.4 and 1 over 8
B.negative 8 and 3 over 8
C.negative 4 and 1 over 8
D.8 and 3 over 8

Answer 1

The simplified result of negative 6 and 1 over 4 minus negative 2 and 1 over 8 is C. negative 4 and 1 over 8.

Step-by-step explanation:

To simplify the expression negative 6 and 1 over 4 minus negative 2 and 1 over 8, follow these steps:

• Convert both mixed numbers to improper fractions:
  
  • 
    (-6 and 1/4) becomes (-25/4)
  • 
    (-2 and 1/8) becomes (-17/8)
• Since subtracting a negative is the same as addition, change the operation from subtraction to addition.
• Find a common denominator, which in this case is 8:
  
  • 
    (-25/4) becomes (-50/8)
• Add the numerators: (-50) + (+17) = (-33)
• Thus, the expression simplifies to -33/8, which converts back to -4 and 1/8 as a mixed number.

Therefore, the answer is C. negative 4 and 1 over 8.