Simplifies to lowest terms
AskSia finds the greatest common factor of both terms and divides through, returning the ratio in its simplest form. Useful for homework problems that ask 'reduce' or 'simplify' the ratio.
Lowest terms
AI Solver by AskSia
Ratio Solver: simplified, scaled, solved
Simplify any ratio to lowest terms, find equivalent ratios, scale up or down, or solve a proportion for an unknown. AskSia handles every ratio problem step-by-step, including word problems with part-to-part and part-to-whole comparisons.
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 is the AskSia ratio solver?
The AskSia ratio solver is an AI tool that handles every kind of ratio problem: simplifying to lowest terms, finding equivalent ratios, scaling a ratio up or down, solving proportions for an unknown variable, working with three-term ratios (a:b:c), and translating ratio word problems. Every solve returns a step-by-step worked solution with cross-multiplication or scaling shown clearly. Useful from middle school through SAT, ACT, GRE, and college.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Every ratio question, with the setup shown.
Most ratio mistakes come from the setup, not the arithmetic. AskSia gets the proportion right first, then shows the cross-multiplication or scaling step-by-step.
Solves proportions
Given a/b = c/d with one unknown, AskSia cross-multiplies and solves. The cross-multiplication step is shown clearly so you can see why ad equals bc.
Cross-multiplication
Scales up or down
Given a recipe ratio of 2:3 for 6 servings, scale to 15 servings. AskSia computes the multiplier and applies it to both parts of the ratio.
Scaling
Part-to-part vs part-to-whole
When a problem says '3 to 5 ratio of boys to girls,' AskSia clarifies whether it's part-to-part (3:5) or part-to-whole (3 out of 8). The setup matters and AskSia gets it right.
Setup correct
Three-term ratios a:b:c
Ratios with three or more parts, like 2:3:5, are handled by treating the total as 2 + 3 + 5 = 10 parts. AskSia distributes a total quantity across the parts correctly.
a:b:c supported
Word problems translated
Word problems with ratios (recipes, mixtures, age ratios, map scales) are translated into the right proportion automatically. AskSia identifies the unknown and sets up the cross-multiplication.
Word problems
How It Works
Three taps to a solved ratio.
Step 01
Capture the ratio problem
Snap a photo, paste the problem, or type the ratio or proportion. AskSia reads ratio notation (a:b, a/b, or 'a to b' in word problems).
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
Watch Sia set up and solve
AskSia identifies the type (simplify, scale, solve proportion) and walks through the setup and arithmetic with each step explained in plain English.
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
See the simplified answer
The final ratio in lowest terms (or the solved unknown) is shown with a check by cross-multiplication. Ask follow-up questions or generate practice problems.
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
Hi! What are we studying today?
Ask about your homework, lecture, or readings...↑
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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AskSia
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Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
Every ratio question, every level.
Middle school ratio basics
Simplify a ratio, find an equivalent ratio, and solve a basic proportion. AskSia explains each step in language that matches middle school textbooks.
Middle school
Algebra 1 proportions
Setting up and solving proportions a/b = c/d with an unknown variable. Cross-multiplication is shown explicitly, with the algebra worked out clearly.
Algebra 1
Word problems with ratios
Recipe scaling, mixture problems, age ratios, map scales, currency conversions. AskSia translates the prose into the right proportion and interprets the answer in context.
Word problems
Three-term and compound ratios
Ratios with three or more parts (a:b:c) and compound ratios where two ratios combine. AskSia distributes totals correctly across multiple parts.
Multi-part ratios
SAT, ACT, GRE prep
Ratio problems are SAT, ACT, and GRE staples. After any solve, generate similar practice problems at the right difficulty level for your target exam.
SAT, ACT, GRE
Real-world conversions
Unit conversions, scale models, and rate problems all reduce to ratio problems. AskSia handles unit cancellation cleanly and shows every conversion step.
Conversions
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 does AskSia simplify a ratio?
AskSia finds the greatest common factor (GCF) of both parts of the ratio, then divides each part by the GCF. For example, to simplify 12:18, AskSia identifies GCF(12, 18) = 6 and divides to get 2:3. For three-term ratios like 12:18:24, the GCF of all three parts is found (GCF(12, 18, 24) = 6), giving 2:3:4. The work is shown explicitly so you can apply the same method by hand on a quiz.
How does AskSia solve a proportion like a/b = c/d?
AskSia uses cross-multiplication: if a/b = c/d, then ad = bc. The cross-multiplication step is shown explicitly so you see why it works (multiplying both sides by bd). Once you have ad = bc, AskSia solves the resulting linear equation for the unknown variable. The answer is checked by substituting back into the original proportion and confirming both sides are equal.
Can AskSia handle three-term ratios like 2:3:5?
Yes. For a three-term ratio a:b:c, the total number of parts is a + b + c. When a problem says 'divide 150 in the ratio 2:3:5,' AskSia computes the total parts (2 + 3 + 5 = 10), finds the value of one part (150 / 10 = 15), then multiplies through to get the three quantities (30, 45, 75). The work and the check (30 + 45 + 75 = 150) are both shown.
Can AskSia solve ratio word problems?
Yes. Word problems with ratios appear constantly in math homework and on standardized tests: recipe scaling (double the recipe), mixture problems (ratio of orange juice to water), age ratios (the ratio of ages now or in n years), map scales, and currency conversions. AskSia parses the prose, sets up the correct proportion (part-to-part or part-to-whole, depending on the problem), cross-multiplies, and interprets the numerical answer back in the original context.
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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Any ratio. Simplified, scaled, or solved.
Join 2M+ students using AskSia to simplify ratios, find equivalent ratios, scale up or down, and solve proportion word problems with clear cross-multiplication on every solve.
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