Algebra & Expressions
Percent: Fraction, Decimal & Percent
Percent means "per hundred." To convert: percent ÷ 100 = decimal; decimal × 100 = percent; fraction → divide → decimal → multiply by 100.
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Worked Examples
Follow along with these step-by-step examples. Take your time — there's no rush!
Problem
Convert 3/4 to a decimal and a percent
Step-by-Step Solution
Divide: 3 ÷ 4 = 0.75
Multiply by 100: 0.75 × 100 = 75%
Answer
0.75 and 75%
Problem
Convert 0.035 to a percent and a fraction
Step-by-Step Solution
Percent: 0.035 × 100 = 3.5%
Fraction: 0.035 = 35/1000 = 7/200
Answer
3.5% and 7/200
Problem
What is 30% of 150?
Step-by-Step Solution
Convert 30% to decimal: 0.30
Multiply: 0.30 × 150 = 45
Answer
45
Problem
A shirt costs $40. It is on sale for 25% off. What is the sale price?
Step-by-Step Solution
Discount = 25% of $40 = 0.25 × 40 = $10.
Sale price = $40 − $10 = $30.
Answer
$30
Problem
A student scored 18 out of 24. What percent did they score?
Step-by-Step Solution
Percent = (part / whole) × 100
= (18 / 24) × 100
= 0.75 × 100 = 75%
Answer
75%
Your Turn — Practice Problems
Try all 5 problems on your own first. Write out your work — that's how it sticks!
💡 Tip: Don't peek at the answers until you've genuinely tried each one.
Convert 1/5 to a percent
Convert 0.625 to a percent
Convert 45% to a decimal
What is 25% of 80?
Convert 2/3 to a percent (round to nearest tenth)
Convert 0.08 to a percent
What is 10% of 350?
A $60 item is 15% off. What is the discount?
Convert 3/8 to a percent
A student got 45 out of 50. What percent is that?
Convert 150% to a decimal
What is 5% of 200?
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