Question

1. \\(\dfrac{13 + 7^2 \div 7}{9 - 20 \div 4 - 16}\\)

Explanation:

Step1: Calculate numerator: \(13 + 7^2 \div 7\)

First, calculate the exponent: \(7^2 = 49\). Then, perform the division: \(49 \div 7 = 7\). Finally, perform the addition: \(13 + 7 = 20\). So the numerator is \(20\).

Step2: Calculate denominator: \(9 - 20 \div 4 - 16\)

First, perform the division: \(20 \div 4 = 5\). Then, perform the subtractions from left to right: \(9 - 5 = 4\), and \(4 - 16 = -12\). So the denominator is \(-12\).

Step3: Divide numerator by denominator

Now, divide the numerator (\(20\)) by the denominator (\(-12\)): \(\frac{20}{-12}=-\frac{5}{3}\)

Answer:

\(-\frac{5}{3}\)