Question

What expressions are equivalent to -4(3-7)

Answer 1

The correct equivalent expression is Option 2:
`\(-(112)/(8)\)`.

To simplify the expression
`\(4 \left((7)/(8) - 4 - (3)/(8) - 7\right)\)`, distribute the 4 to each term inside the parentheses:

`\[4 \cdot (7)/(8) - 4 \cdot 4 - 4 \cdot (3)/(8) - 4 \cdot 7\]`

Simplify each term:

`\[ (28)/(2) - 16 - (12)/(2) - 28\]`

Combine like terms:

14 - 16 - 6 - 28

Finally, simplify the expression:

-36

Converting -36 to fraction form, we get
`\(-(36)/(1)\)`. Reducing the fraction, we get \
`(-(36)/(1) = -(36)/(-1)\))`. Further simplifying, we get
`\((36)/(1) = 36\)`.

Therefore, the correct equivalent expression is
`\(-(112)/(8)\)`.

Que. Which expressions are equivalent to 4 (7/8 - 4 - 3/8 - 7)?
Option 1: 4 (-28/8)
Option 2: -112/8
Option 3: -14
Option 4: -7/2