Fractions Practice & Interactive Quizzes
Master fractions with interactive practice drills and self-graded quizzes. Practice adding, simplifying, and comparing fractions with instant explanations.
23 practice topics available
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→Adding Mixed Numbers with Like Denominators
Add mixed numbers with identical denominators by summing whole numbers and fraction numerators, then regrouping improper sums into wholes.🎯
→Adding Mixed Numbers with Unlike Denominators
Add mixed numbers with different denominators by finding a common denominator, adding fraction parts and whole numbers, and regrouping improper sums.🎯
→Adding Fractions Practice
Master adding proper and improper fractions with like and unlike denominators using the Least Common Denominator (LCD) and reducing sums to simplest form.🎯
→Comparing Fractions Practice
Compare two fractions using benchmark fractions (0, 1/2, 1), common denominators, or the cross-multiplication butterfly method.🎯
→Decimal Operations Mixed Practice
Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms.🎯
→Dividing Mixed Numbers
Divide mixed numbers by converting all terms to improper fractions, multiplying by the reciprocal of the divisor (Keep-Change-Flip), and reducing quotients to simplest form.🎯
→Equivalent Fractions Practice
Master identifying and generating equivalent fractions by multiplying or dividing numerators and denominators by common scale factors (the Multiplicative Identity of 1).🎯
→Fraction of a Whole Number
Calculate a fraction of a whole number by dividing the whole number by the denominator to find the unit fraction value, then multiplying by the numerator.🎯
→Dividing Fractions Practice
Master dividing proper fractions, unit fractions, whole numbers, and mixed numbers using the reciprocal inversion algorithm (Keep, Change, Flip) and simplifying to lowest terms.🎯
→Multiplying Fractions Practice
Master multiplication of fractions, mixed numbers, and whole numbers using straight-across multiplication, cross-cancellation, and reducing to simplest form.🎯
→Fractions on a Number Line
Represent and identify fractions on a number line by partitioning the unit interval from 0 to 1 into equal parts and counting segment lengths from 0.🎯
→Converting Improper Fractions to Mixed Numbers
Convert improper fractions into mixed numbers by dividing the numerator by the denominator to find the whole number quotient and placing the remainder over the original denominator.🎯
→Mixed Numbers Practice
Master converting between mixed numbers and improper fractions, and perform addition and subtraction of mixed numbers with common and unlike denominators.🎯
→Converting Mixed Numbers to Improper Fractions
Convert mixed numbers into improper fractions using the multiply-and-add algorithm: multiply the whole number by the denominator, add the numerator, and place over the original denominator.🎯
→Multiplying Mixed Numbers
Multiply mixed numbers by converting each factor to an improper fraction, cross-cancelling common factors, multiplying straight across, and converting products back to simplest mixed form.🎯
→Ordering Fractions (Least to Greatest)
Compare and order fractions with unlike denominators from least to greatest by finding common denominators, comparing to benchmark fractions (0, 1/2, 1), or cross-multiplying.🎯
→Repeating Decimals to Fractions
Convert pure and mixed repeating decimals into simplified fractional form using algebraic elimination.🎯
→Shape Fractions & Unit Fractions
Understand a fraction 1/b as the quantity formed by 1 part when a shape is partitioned into b equal parts, and understand a fraction a/b as the quantity formed by a parts of size 1/b.🎯
→Simplifying Fractions Practice
Master reducing proper and improper fractions to their lowest terms by dividing numerators and denominators by their Greatest Common Divisor (GCD).🎯
→Subtracting Fractions with Like Denominators
Subtract proper and improper fractions having identical denominators by subtracting numerators and maintaining the common denominator, followed by simplifying.🎯
→Subtracting Mixed Numbers with Borrowing
Subtract mixed numbers when the top fraction is smaller than the bottom fraction by borrowing 1 from the whole number and converting it to d/d.🎯
→Subtracting Fractions with Unlike Denominators
Subtract fractions with different denominators by finding the least common denominator (LCD), converting to equivalent fractions, subtracting numerators, and reducing.🎯
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