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Step-by-Step Educational Solvers

Math Calculators

Master arithmetic, percentages, and fractions with clear, step-by-step educational explanations. Designed for students, engineers, and analysts who demand both answers and transparent mathematical proofs.

4-in-1 Multi-Mode Solver

Percentage Calculator

Solve any percentage problem instantly. Features 4 distinct modes: basic percentage ($X\%$ of $Y$), proportions (what percent is $X$ of $Y$), relative percentage change/growth ($\pm\Delta\%$), and reverse calculation (finding original pre-discount or pre-tax prices).

Spreadsheet formulas included for Excel and Google Sheets
Quick-pick presets for standard tips, sales discounts & VAT
Step-by-Step Educational Solution

Fraction Calculator with Steps

Add, subtract, multiply, and divide mixed numbers and improper fractions. Displays complete, step-by-step arithmetic explanations including mixed-to-improper conversion, Least Common Denominator (LCD), and Euclidean Greatest Common Divisor (GCD) reduction.

Dual modes: Two-fraction arithmetic & Single fraction simplifier
Visual proportion comparison bars and decimal/percentage equivalents
4-in-1 Proportion & Scaling Suite

Ratio Calculator & Solver

Solve proportions ($A:B = C:D$) via cross-multiplication, simplify 2-part and 3-part ratios using Euclidean GCD, scale display aspect ratios (16:9, 4:3, 21:9), and divide amounts proportionally with dynamic color bars.

Aspect ratio scaling with instant width & height preservation
Unit ratios (1:n, n:1) and percentage distribution proofs
Solve for X

Proportion Calculator

Solve A/B = C/D for the missing value in any position with cross-multiplication steps, test whether two ratios are proportional, and solve inverse proportions such as workers and days.

Worked examples: recipes, map scales, unit prices, dosage
Direct and inverse proportion (x₁y₁ = x₂y₂)
Descriptive Statistics Suite

Average Calculator (Mean, Median, Mode)

Find the arithmetic mean, median, mode, range, sample and population standard deviation, and variance. Features weighted averages, dynamic box-and-whisker plot visualizations, and step-by-step proofs.

Interactive SVG Box-and-Whisker & distribution plot
Sample ($s$) and population ($\sigma$) standard deviation
Educational Pedagogy & Mathematical Rigor

Why Step-by-Step Transparency Matters

Calculators that only output a final number leave students and practitioners guessing. Our math solvers explain every mechanical transformation step: finding the prime factors of denominators, expanding cross-terms to common denominators, and reducing fractions via the Euclidean algorithm.

Double-Precision Floating Point Verification

All arithmetic logic executes with integer precision for fractions and high-precision IEEE 754 floating-point operations for percentages, eliminating common binary rounding artifacts seen in basic web calculators.