Question

1. convert 0.8 to a fraction in simplest form.

a. \\(\frac{5}{4}\\)

b. \\(\frac{10}{8}\\)

c. \\(\frac{8}{10}\\)

d. \\(\frac{4}{5}\\)

1. convert \\(\frac{2}{3}\\) to a percentage

a. 33%

b. 67%

c. 75%

d. 150%

1. calculate 25% of 360

a. 9000

b. 90

c. 14.4

d. 0.0694

Explanation:

Question 2

Step1: Write 0.8 as a fraction

0.8 can be written as $\frac{8}{10}$ because the 8 is in the tenths place.

Step2: Simplify the fraction

To simplify $\frac{8}{10}$, we find the greatest common divisor (GCD) of 8 and 10, which is 2. Then we divide both the numerator and the denominator by 2: $\frac{8\div2}{10\div2}=\frac{4}{5}$.

Step1: Convert the fraction to a decimal

To convert $\frac{2}{3}$ to a decimal, we divide 2 by 3: $2\div3\approx0.6667$.

Step2: Convert the decimal to a percentage

To convert a decimal to a percentage, we multiply by 100: $0.6667\times100\approx66.67\%$, which is approximately 67%.

Step1: Convert the percentage to a decimal

25% as a decimal is 0.25 (since we divide by 100: $25\div100 = 0.25$).

Step2: Multiply the decimal by 360

We calculate $0.25\times360 = 90$.

Answer:

d. $\frac{4}{5}$

Question 3