Fractions, Ratios, and Mixed-Number Tools — with Worked Steps
Clear, step-by-step fraction calculators with practical examples. Learn how to add, subtract, multiply, divide, and simplify fractions with confidence.
Quick Tools
Reduce Fractions
Simplify any fraction to its lowest terms with step-by-step explanations showing the greatest common divisor method.
Number + Fraction
Convert whole numbers and fractions into improper fractions or mixed numbers with clear working.
Ratio Simplifier
Simplify ratios to their simplest form and convert between ratio and fraction notation.
Mixed Numbers
Add, subtract, multiply, and divide mixed numbers with automatic simplification.
Mixed Numbers to Percent
Convert mixed numbers and fractions to percentages with detailed calculation steps.
Fractions Estimating
Estimate fraction values and compare multiple fractions quickly with visual representations.
Popular Worked Examples
See complete solutions with every step explained
26 2/3 as Improper Fraction
Convert the mixed number 26 2/3 into an improper fraction with step-by-step working.
9/20 to Decimal
Learn how to convert the fraction 9/20 to decimal form using division.
Add 1/2 + 1/4
Add fractions with different denominators by finding a common denominator.
Divide 8/1 ÷ 1/2
Divide fractions using the multiply-by-reciprocal method with clear steps.
How These Calculators Show Steps
Each calculator on this site provides more than just an answer. You'll see the complete working process, including identifying common denominators, simplification steps, and conversions between different forms.
This approach helps you understand the underlying method, whether you're checking homework, preparing for a test, or brushing up on fraction skills for work or daily use.
All calculations use exact rational arithmetic to avoid rounding errors during intermediate steps. Final decimal values are shown rounded to four decimal places, while fractions remain exact throughout.
Enter Your Values
Input your fractions, mixed numbers, or ratios into the clearly labeled fields.
See the Steps
Each calculation shows the method used, from finding common denominators to simplifying results.
Multiple Formats
Results appear as simplified fractions, mixed numbers, decimals, and percentages where applicable.
Explore Related Tools
Each calculator suggests related tools and worked examples to deepen your understanding.
Recent Updates
Initial launch with six core calculators, fourteen worked example pages, and comprehensive guides for adding, dividing, and converting fractions.
Added mobile-optimized calculator interfaces with clear focus states and keyboard navigation support throughout the site.
Implemented exact rational arithmetic engine using fraction.js to eliminate floating-point rounding errors in all calculations.
Frequently Asked Questions
Yes, all calculators and resources on this site are completely free. No registration or payment is required.
All fraction calculations use exact rational arithmetic, meaning there are no rounding errors in intermediate steps. Decimal results are rounded to four decimal places for display purposes only.
Absolutely. The entire site is designed mobile-first, with touch-friendly inputs and responsive layouts that work on phones, tablets, and desktop computers.
Yes. Each calculator page includes detailed explanations of the method used, and the worked examples section provides complete step-by-step solutions for common fraction problems.
Check the worked examples section for similar problems, or browse the guides for detailed explanations of fraction operations. The site covers addition, subtraction, multiplication, division, simplification, and conversion operations.
These tools provide mathematically accurate results, but results depend on rounding preferences and specific curriculum requirements. Always verify that the output format matches what your instructor or textbook expects.