Question

Use properties to evaluate ({7}{5} left({1}{4} div {7}{4}right) (-10).

a) 2
b) -5
c) -2
d) 5

Answer 1

The answer is evaluated by simplifying the division inside the parentheses, then simplifying the resulting multiplication, and finally multiplying by -10, resulting in an answer of -2.

Step-by-step explanation:

The question asks us to evaluate the expression (7/5) * (1/4 ÷ 7/4) * (-10) using properties of operations. We can start by simplifying the division inside the parentheses.

• (1/4) ÷ (7/4) = (1/4) * (4/7) = 1/7 because when we divide fractions, we multiply by the reciprocal.
• Now, we substitute this back into the original expression: (7/5) * (1/7) * (-10).
• We simplify the multiplication: (7/5) * (1/7) = 1/5 because the sevens cancel each other.
• Finally, we multiply 1/5 by -10: 1/5 * -10 = -2.

Therefore, the answer is -2.