Question

1. calculate the following amounts.

a. $5\frac{1}{2}\\%$ of 400
b. $\frac{1}{4}\\%$ of 12 000
c. $120\\%$ of 3000

1. calculate the percent of each number.

a. $0.64\\%$ of 3500
b. $\frac{3}{5}\\%$ of 25 000
c. $18.45\\%$ of 600

Explanation:

1a. Step1: Convert mixed fraction to decimal

$5\frac{1}{2}\% = 5.5\% = 0.055$

1a. Step2: Multiply by 400

$0.055\times400 = 22$

1b. Step1: Convert fraction to decimal

$\frac{1}{4}\% = 0.25\% = 0.0025$

1b. Step2: Multiply by 12000

$0.0025\times12000 = 30$

1c. Step1: Convert percentage to decimal

$120\% = 1.2$

1c. Step2: Multiply by 3000

$1.2\times3000 = 3600$

2a. Step1: Convert percentage to decimal

$0.64\% = 0.0064$

2a. Step2: Multiply by 3500

$0.0064\times3500 = 22.4$

2b. Step1: Convert fraction to decimal

$\frac{3}{5}\% = 0.6\% = 0.006$

2b. Step2: Multiply by 25000

$0.006\times25000 = 150$

2c. Step1: Convert percentage to decimal

$18.45\% = 0.1845$

2c. Step2: Multiply by 600

$0.1845\times600 = 110.7$

Answer:

1a. 22
1b. 30
1c. 3600
2a. 22.4
2b. 150
2c. 110.7