Question

2(7+2×3)+4 divided by 1/6

Explanation:

Step1: Solve inside the parentheses (PEMDAS: multiply first)

First, in the parentheses \(7 + 2\times3\), we perform the multiplication: \(2\times3 = 6\). Then the addition inside the parentheses: \(7 + 6 = 13\). So now the numerator becomes \(2\times13 + 4\).

Step2: Simplify the numerator

Calculate \(2\times13 = 26\), then add 4: \(26 + 4 = 30\). Now we have the fraction \(\frac{30}{\frac{1}{6}}\).

Step3: Divide by a fraction (multiply by reciprocal)

Dividing by \(\frac{1}{6}\) is the same as multiplying by 6. So \(30\times6 = 180\).

Answer:

180