Question

multiply: $28 \times 5\frac{11}{14}$
a $145\frac{11}{14}$
b 164
c 162
d $140\frac{11}{14}$

Explanation:

Step1: Convert mixed number to improper fraction

$$5\frac{11}{14}=\frac{5\times14 + 11}{14}=\frac{70+11}{14}=\frac{81}{14}$$

Step2: Multiply the whole number by the improper fraction

$$28\times\frac{81}{14}=\frac{28\times81}{14}$$
Since \(28\div14 = 2\), then \(\frac{28\times81}{14}=2\times81\)

Step3: Calculate the result

\(2\times81=162\)

Answer:

C. 162