Fractions, Decimals & Percents Equivalence Practice Problems & Conceptual Mastery
Fluently convert between fractions, decimals, and percentages in all directions, simplifying fractions to lowest terms and understanding percent as parts per hundred.
๐ Worked Step-by-Step Example
Convert fraction to decimal: 3 รท 5 = 0.6. Multiply by 100 to get percentage: 0.6 ร 100 = 60%.
โ Frequently Asked Questions
What is the relationship between fractions, decimals, and percents?
They are three different ways of showing the exact same mathematical quantity. A fraction shows parts of a whole (3/4), a decimal shows place-value parts (0.75), and a percent shows parts per hundred (75%).
How do you convert 3/8 to a percent?
Divide 3 รท 8 = 0.375. Multiply by 100 to get the percentage: 0.375 ร 100 = 37.5%.
Why is 0.05 equal to 5% and not 50%?
Percent means hundredths. 0.05 has the digit 5 in the hundredths place (5/100 = 5%). In contrast, 0.50 has 5 tenths, which equals 50 hundredths (50%).
How do you convert a decimal like 0.125 to a fraction?
Write 125/1000. Both divide by 125: 125 รท 125 = 1, and 1000 รท 125 = 8. So 0.125 = 1/8.
๐บ๏ธ Pedagogical Learning Roadmap
2-Digit Addition without Regroupingโ
Master core 2-Digit Addition without Regrouping concepts to build computational fluency.
Prerequisite2-Digit Addition with Regroupingโ
Master core 2-Digit Addition with Regrouping concepts to build computational fluency.
Next Step2-Digit by 2-Digit Multiplicationโ
Advance to 2-Digit by 2-Digit Multiplication practice drills and timed challenges.
Next Step2-Digit Subtraction without Borrowingโ
Advance to 2-Digit Subtraction without Borrowing practice drills and timed challenges.
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