GCF-based reduction.
AskSia finds the GCF of numerator and denominator, divides both, and reports the lowest-terms fraction.
Reduce
AI Solver by AskSia
Equivalent Fractions Solver: reduce, scale, verify
Type a fraction or a pair of fractions. AskSia reduces to lowest terms with the GCF shown, scales to any target denominator, finds common denominators when you need to add or compare, and verifies equivalence by cross-multiplication.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What are equivalent fractions?
Equivalent fractions are different-looking fractions that represent the same value. They come from multiplying or dividing both the numerator and denominator of a fraction by the same non-zero number. For example, 1/2, 2/4, and 3/6 are all equivalent because each can be obtained from another by scaling both parts equally. Two fractions a/b and c/d are equivalent if and only if a*d = b*c (cross-multiplication test).
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why AskSia is a clean equivalent fractions tool.
Reduce, scale, and verify, with every multiplication shown.
Scaling shown explicitly.
To get a target denominator, AskSia multiplies numerator and denominator by the same factor and shows the arithmetic.
Scale
Common denominators.
For adding fractions, AskSia finds the LCD and scales each fraction to it before adding.
LCD
Cross-multiply check.
Two fractions a/b and c/d are tested for equivalence by computing a*d and b*c and comparing.
Verified
Visual fraction bars.
Equivalence shown as bars divided into different numbers of parts but covering the same shaded area.
Visual
Algebraic fractions too.
Fractions with variables, like (x+2)/(x^2-4), get reduced by factoring and canceling common factors.
Algebraic
How It Works
Three steps for equivalent fractions.
Step 01
Enter the fraction.
Type, paste, photograph, or speak the fraction or pair. AskSia identifies numerator and denominator.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
Choose the operation.
Reduce to lowest terms, scale to a target denominator, find common denominators, or verify equivalence of a pair.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the result.
Reduced or scaled fraction with the multiplier shown. Cross-multiplication verification for any pair.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
Where equivalent fractions come up.
Simplify a fraction.
Reduce 12/18 to 2/3 by dividing both by GCF 6. AskSia shows the GCF computation and the division.
Reduce
Add or subtract fractions.
Need common denominators. AskSia finds the LCD, scales each fraction, and combines.
Add/subtract
Compare two fractions.
Is 3/7 less than 5/12? Cross-multiply: 3*12 = 36, 5*7 = 35. So 3/7 > 5/12.
Compare
Convert to a specific denominator.
Express 2/5 as a fraction with denominator 20. Multiply both parts by 4: 8/20.
Scale
Algebraic simplification.
(x^2 - 4)/(x + 2) simplifies to x - 2 (with x not equal to -2). AskSia factors and cancels.
Algebraic
Recipe and ratio problems.
Scale a recipe for 4 to a recipe for 6. Each ingredient gets multiplied by 6/4 = 3/2.
Applications
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
How do you know if two fractions are equivalent?
Use cross-multiplication: two fractions a/b and c/d are equivalent if and only if a*d equals b*c. AskSia performs this test directly and reports whether they match. For example, 2/3 and 6/9 are equivalent because 2*9 = 18 and 3*6 = 18.
How do you reduce a fraction to lowest terms?
Find the greatest common factor (GCF) of the numerator and denominator, then divide both by it. The resulting fraction is in lowest terms. AskSia uses prime factorization or the Euclidean algorithm to find the GCF and shows the division step explicitly, so you see why the reduced form is equivalent to the original.
Can AskSia handle algebraic fractions like (x^2-1)/(x-1)?
Yes. AskSia factors both numerator and denominator, then cancels any common factors. (x^2 - 1) factors as (x-1)(x+1), and the (x-1) cancels with the denominator (with x not equal to 1 noted), leaving x + 1. The restriction on x is stated so you do not accidentally substitute the excluded value.
What is the least common denominator and when do you need it?
The LCD of several fractions is the smallest positive integer divisible by every denominator. You need it to add or subtract fractions: each fraction gets scaled up to have the LCD as its denominator, then the numerators can be combined. AskSia computes the LCD by factoring each denominator and taking the union of prime power factors.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Reduce, scale, compare, verify.
Join 2M+ students using AskSia to work with equivalent fractions step-by-step. GCF reduction, scaling to any denominator, cross-multiplication verification, and visual fraction bars on every solve.
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