Fractions
Fraction teaching aids
Use fraction circles or bars to discuss equal parts, unit fractions and different names for the same amount.
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Fractions worksheets
See the equal parts. Explain the relationship. Then use that understanding to calculate with fractions.
Find a worksheet1/2=2/4
Different partitions. The same amount.
Each activity has ready-made Letter and A4 PDFs, a separate answer key or teacher reference, and settings for fresh practice. Use the skill sequence below; a learner's readiness matters more than the grade label.
Fraction practice
Understand fractions with models
Establish equal parts and a consistent whole, then connect visual models with identifying, shading, addition and subtraction.
Fractions
Identify and shade visual fractions
Read a fraction from a partitioned shape or shade equal parts to represent a stated fraction.
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Fractions
Visual fraction addition
Use equal-part models to see why adding fractions with a shared denominator combines their numerators.
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Fractions
Visual fraction subtraction
Use equal-part models to remove a fractional amount and connect the remaining parts to a subtraction equation.
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Add fractions and mixed numbers
Progress from like fractional units to common denominators, three addends and mixed-number totals.
Fractions
Add fractions with the same denominator
Add like fractional units within one whole, simplify the total and recognize when the sum makes exactly one.
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Fractions
Add fractions with common denominators
Rename fractions as equivalent amounts with a common denominator before finding and simplifying their sum.
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Fractions
Add three fractions
Coordinate three equivalent-fraction conversions and combine all three addends using one common denominator.
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Fractions
Add mixed numbers
Combine whole-number and fractional parts, renaming fractional totals that make an additional whole.
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Subtract and regroup
Subtract like or unlike fractions, preserve the order of three terms and exchange wholes when a mixed-number calculation needs it.
Fractions
Subtract fractions with the same denominator
Subtract amounts expressed in the same fractional unit, then simplify the difference without changing its value.
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Fractions
Subtract fractions with common denominators
Rename unlike fractions using a common unit before calculating and simplifying their difference.
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Fractions
Subtract three fractions
Subtract two successive fractional amounts from a starting fraction while tracking a common denominator.
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Fractions
Subtract fractions from whole numbers
Rename part of a whole number as fractional units to subtract a fraction accurately.
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Fractions
Subtract mixed numbers
Subtract whole and fractional parts, with focused practice that can include exchanging a whole when needed.
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Fractions
Three-fraction addition or subtraction practice
Choose a three-term addition or subtraction lesson and keep the common-unit method consistent with the selected operation.
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Multiply, divide and use powers
Study fractional products, cancellation, reciprocals and part–whole questions. Powers are a separate advanced algebra extension with additional prerequisites.
Fractions
Multiplying fractions
Create a multiplying fractions worksheet with 10 or 15 proper-fraction problems, three denominator ranges, exact reduced products, and a separate answer key.
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Fractions
Cross-cancel before multiplying fractions
Reduce common numerator and denominator factors before multiplication to keep the product calculation manageable.
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Fractions
Multiply mixed numbers
Convert mixed numbers into single fractions before multiplying and expressing the product clearly.
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Fractions
Multiply fractions and whole numbers
Connect a fraction times a whole number with finding that fraction of an amount.
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Fractions
Dividing fractions
Create a dividing fractions worksheet with 10 or 15 proper-fraction problems, three difficulty ranges, exact reduced answers, and a separate answer key.
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Fractions
Divide mixed numbers
Convert mixed quantities to improper fractions, divide them exactly and interpret the resulting quotient.
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Fractions
Divide fractions and whole numbers
Practice both a fraction divided by a whole number and a whole number divided by a fraction, preserving their different meanings.
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Fractions
Find a fractional part or the whole
Find a fraction of a known amount or recover an unknown whole from a given fractional part.
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Fractions
Powers of fractions
Evaluate exact powers of fractional bases, with selected integer or rational exponents and explicit attention to signs and reciprocals.
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Equivalent fractions and lowest terms
Generate equal-valued forms, simplify common factors and solve missing entries, including exact fractional values when a blank requires them.
Fractions
Equivalent fractions with missing numbers
Find a missing numerator or denominator that makes two fraction values equal, including blanks whose exact value is fractional.
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Fractions
Equivalent fractions
Print an equivalent fractions worksheet with 10 rows of seven equal fractions, six one-part blanks per row, four denominator sets, and a separate answer key.
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Fractions
Simplifying fractions to lowest terms
Print simplifying fractions worksheets for positive proper fractions, with a separate key. Choose answer denominators, 10, 20 or 30 questions and optional no-repeat practice.
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Compare, order and convert
Explain shared-part comparisons, order several fractions, rename mixed quantities and distinguish exact decimals from rounded approximations.
Fractions
Compare fractions with a shared numerator or denominator
Compare positive fractions by separating the number of parts from the size of each part, then explain the comparison rule.
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Fractions
Order fractions
Arrange a group of fractions in the requested direction using exact comparisons and a consistent common unit.
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Fractions
Convert mixed numbers and improper fractions
Rename quantities greater than one as a mixed number or a single improper fraction without changing their value.
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Fractions
Convert fractions and decimals
Convert fractions to decimals with explicit rounding and convert finite written decimals back to exact fractions.
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Factors and common multiples
Build prime factorizations and find common factors or multiples to support simplification and common-denominator work.
Fractions
Prime factor trees
Break composite numbers into factor pairs until every branch ends in a prime, retaining repeated factors.
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Fractions
Find the greatest common factor
Find the greatest common factor of positive integer pairs. Choose a maximum of 24, 40, 60 or 120 and 10, 15 or 20 questions, with a separate answer key.
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Fractions
Find the least common multiple
Find the smallest positive multiple shared by two numbers and use it to plan common-denominator work.
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Apply fractions to inch measurements
Use binary inch subdivisions, calculate mixed lengths, consult a decimal reference and coordinate feet, inches and fractional inches.
Fractions
Add tape-measure fractions
Add fractional amounts using the halves, fourths, eighths and finer binary divisions found on inch tape measures.
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Fractions
Add whole and fractional inches
Add inch measurements with whole and fractional parts, regrouping an extra inch when the fractions total more than one.
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Fractions
Subtract tape-measure fractions
Find differences between fraction-only lengths using binary inch subdivisions and exact common-denominator subtraction.
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Fractions
Subtract whole and fractional inches
Subtract mixed inch measurements, exchanging a whole inch for fractional parts when the calculation requires it.
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Fractions
Inch fraction and decimal reference chart
Look up all 63 nonzero sixty-fourths of an inch as reduced and equivalent binary fractions with exact six-place decimals.
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Fractions
Fractional inches with borrowing
Add or subtract whole, proper-fraction and mixed-inch quantities, with targeted practice in exchanging a whole inch.
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Fractions
Feet and fractional inches
Add and subtract compound lengths with feet, whole inches and fractional inches, preserving both unit exchanges.
Preview and downloadCompare fractions and decimals
Keep the whole fixed, reason about equal-sized parts, and compare exact values. These activities also belong to the comparing-numbers collection.
Comparing numbers
Comparing fractions
Print a 20-question comparing fractions worksheet with exact <, > and = problems. Choose positive, mixed-sign or negative values and optional denominators through 12.
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Comparing numbers
Compare fractions and decimals
Compare a displayed fraction with a finite decimal, preserving exact values even when the fraction has a recurring decimal expansion.
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Three of four equal parts
Keep the size of one whole in view
Two pieces do not always make the same fraction. Both the number of selected pieces and the number of equal parts in the whole matter.
- Connect a picture to its fractionCount the equal parts in the entire shape, then count the selected parts. Ask why unequal pieces would change the interpretation.
- Rename without changing valueDivide each half into two quarters. The number of pieces changes while the shaded area stays the same. Use this idea for equivalence and common denominators.
- Explain an operationFor 1/2 + 1/4, rename 1/2 as 2/4 and add to get 3/4. The denominator names the size of the pieces; it is not added.
Find a useful level
Grade 4: equivalent fractions and like-denominator work · Grade 5: unlike denominators and mixed numbers · Grade 6: division and connections
Advanced fractional and negative exponent settings require additional algebra knowledge. They are included as a separate extension, not as a claim about a particular grade curriculum.