Evaluate the numerator.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
DaqChild, let's knock this out.
Step 1: Evaluate the numerator.
The numerator is $\frac{6}{7} \text{ of } 14 \div 80 \times -20$.
First, calculate "$\frac{6}{7}$ of $14$":
$$ \frac{6}{7} \times 14 = 6 \times \frac{14}{7} = 6 \times 2 = 12 $$
Now substitute this back into the numerator:
$$ 12 \div 80 \times -20 $$
Perform division and multiplication from left to right:
$$ \frac{12}{80} \times -20 = \frac{3}{20} \times -20 = -3 $$
So, the numerator is $-3$.
Step 2: Evaluate the denominator.
The denominator is $-2 \times 5 + (14 \div 7) \times 3$.
First, calculate the expression in parentheses:
$$ 14 \div 7 = 2 $$
Substitute this back into the denominator:
$$ -2 \times 5 + 2 \times 3 $$
Perform multiplications from left to right:
$$ (-2 \times 5) + (2 \times 3) = -10 + 6 $$
Now perform the addition:
$$ -10 + 6 = -4 $$
So, the denominator is $-4$.
Step 3: Divide the numerator by the denominator.
$$ \frac{-3}{-4} = \frac{3}{4} $$
The final answer is $\boxed{\frac{3}{4}}$.
Send me the next one 📸
