Practice converting, comparing, adding, subtracting, multiplying, and dividing fractions and decimals. Use hints when needed, choose an answer, and review the explanation after each question.
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The 10 questions focus on converting between forms, comparing a fraction with a decimal, decimal addition and subtraction, mixed fraction-decimal arithmetic, multiplication, and division. The useful skill is not memorizing conversions one by one, but choosing the representation that makes the next step easiest.
Use numerator ÷ denominator for fraction → decimal, or place value for terminating decimal → fraction.
Put both numbers into a common representation before deciding which is greater.
Align decimal points so tenths, hundredths, and thousandths remain in the correct columns.
Some fractions terminate as decimals; others repeat and are often better kept in exact fractional form.
For a fraction such as 3/20, either divide directly or build an equivalent fraction with denominator 100.
This is one reason fractions remain important even when calculators are available. Exact fractional form can preserve information that a rounded decimal loses.
After simplification, denominators containing only factors 2 and/or 5 give terminating decimals.
Other prime factors produce repeating decimal expansions.
The current quiz uses both 0.4 + 0.35 and 3.2 − 1.75. Writing trailing zeros makes the place-value structure explicit.
For 1/4 + 0.5, either convert the fraction to a decimal or convert the decimal to a fraction.
Use 2/3 when exact arithmetic continues or cancellation may appear later.
Use 0.75 for money, measurements, calculator output, and direct decimal comparisons.
2/3 ≈ 0.667 is useful numerically, but it is not identical to 2/3.
A fraction and a decimal should be converted or compared mathematically, not judged by how their digits look.
Place value controls decimal addition and subtraction.
Replacing an exact repeating fraction with a short decimal can create error in later steps.
Review place value and simple conversions involving halves, quarters, fifths, tenths, and hundredths.
Focus on mixed-form comparisons, decimal alignment, and choosing the easier representation before calculating.
Move toward repeating decimals, percentages, ratios, complex fractions, and rational expressions.
Practice common denominators, multiplication, division, mixed numbers, and exact fraction arithmetic.
Open fractions quizExtend fraction-decimal conversions into unit rates, equivalent ratios, percent change, discounts, and scale.
Practice ratios & percentages