Practice fractions with questions about simplifying, comparing, adding, subtracting, multiplying, dividing, and converting fractions. Use hints when needed, choose an answer, and review the explanation after each question.
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These 10 questions cover simplifying, comparing, adding, subtracting, multiplying, dividing, converting decimals, improper fractions, mixed numbers, and least common denominators. Those skills later support ratios, probability, algebraic fractions, rational expressions, and proportional reasoning.
Multiply or divide numerator and denominator by the same nonzero value without changing the fraction.
Use common denominators, cross-products, or benchmarks such as 1/2 and 1.
Addition and subtraction need compatible denominators; multiplication and division use different structures.
Move between fractions, decimals, mixed numbers, ratios, and percentages when another form is more useful.
The quiz begins with 6/12. Dividing numerator and denominator by the same factor preserves the quotient represented by the fraction.
For 3/4 and 2/3, compare 3×3 with 2×4. Since 9 is greater than 8, 3/4 > 2/3. This exact method is useful when decimal approximations would be awkward.
Compare a/b and c/d by comparing ad and bc when denominators are positive.
Rewrite both fractions using equal-sized parts, then compare the numerators.
Fractions near 0, 1/2, or 1 can often be compared by reasoning before any calculation.
One of the most common mistakes is forcing one procedure onto every operation.
Use a common denominator so the fractions refer to the same-sized parts.
No common denominator is needed. Multiply across, then simplify.
Multiply by the reciprocal of the divisor.
This gives the reciprocal rule a meaning instead of making it only a memorized trick.
The quiz converts decimals to fractions and improper fractions to mixed numbers. The same value can be written in several useful forms.
A stronger high-school example is (3/4 + 1/2) ÷ 5/6.
Denominators name the size of the parts; they are not added when combining equal-sized parts.
Multiplication does not require matching denominators first.
For division, take the reciprocal of the divisor — the second fraction.
Review equivalent fractions, simplification, common denominators, and the meaning of numerator versus denominator.
Focus on the operation types you missed: comparison, addition/subtraction, multiplication, division, or conversion.
Move toward mixed operations, complex fractions, ratios, proportions, probability, and rational expressions.