Modeling Percentages, Fractions, and Decimals

Question 1

What is a percentage

Answer 1

Percent” means “per hundred”: it’s a ratio out of 100, written with the % symbol (e.g., 25% = 25 ∕ 100)

Question 2

How is a percentage related to a decimal?

Answer 2

Percent = decimal × 100 and decimal = percent ÷ 100

Question 3

How do you convert a percent to a decimal?

Answer 3

Divide by 100 (or move the decimal point two places left): 73% → 0.73

Question 4

How do you convert a decimal to a percent?

Answer 4

Multiply by 100 (or move the decimal point two places right) and add “%”: 0.07 → 7%

Question 5

How do you convert a fraction to a decimal?

Answer 5

Divide numerator by denominator (long division or calculator): 3/8 → 0.375

Question 6

How do you convert a decimal to a fraction?

Answer 6

Write it over its place‐value (e.g., 0.75 = 75/100), then simplify (75/100 → 3/4)

Question 7

How do you convert a fraction directly to a percent?

Answer 7

Divide to get a decimal, then multiply by 100: (2/5 → 0.4 → 40%)

Question 8

How do you convert a percent directly to a fraction?

Answer 8

Write percent over 100 and simplify: 45% → 45/100 → 9/20