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Math Calculators

This page gathers Figuro's math tools, from everyday arithmetic like percentages and fractions to algebra, geometry, and statistics. Each calculator is built to show its work: the formula it applies, a worked example, and the reasoning a textbook or teacher would walk through, not just a final number.

Scientific Calculator

Evaluate expressions with trig, logs, and roots.

Fraction Calculator

Simplify any fraction to its lowest terms.

Percentage Calculator

Three common ways to calculate percentages.

Percent Off Calculator

Sale price and savings from an original price and discount.

Random Number Generator

Generate random whole numbers within a range.

Triangle Calculator

Angles and area of a triangle from its three sides.

Standard Deviation

Mean, variance and standard deviation of a data set.

Volume Calculator

Volume of a cylinder, sphere, cube, cone, or rectangular box.

Circle Calculator

Area, circumference, and diameter of a circle.

LCM & GCF Calculator

Least common multiple and greatest common factor of two or more numbers.

Ratio Calculator

Simplify ratios, solve for a missing value, and scale a ratio.

Slope & Distance Calculator

Slope, distance between two points, and midpoint.

Binary / Hex Converter

Convert between binary, decimal, hexadecimal, and octal.

Quadratic Formula Calculator

Solve ax²+bx+c=0 for real or complex roots.

Average & Median Calculator

Mean, median, mode, and range of a list of numbers.

Dice Roller

Roll 1-10 virtual dice with any number of sides.

Roman Numeral Converter

Convert between numbers and Roman numerals.

Pythagorean Theorem Calculator

Find the hypotenuse or a missing leg of a right triangle.

Factor Calculator

All factors and the prime factorization of a number.

Math Solver

Solve equations and expressions step by step.

How to choose the right calculator

For everyday number problems — splitting a bill, figuring a discount, or comparing quantities — the Percentage, Percent Off, Ratio, and Fraction calculators cover most day-to-day arithmetic without needing algebra.

For algebra homework or problem-solving, the Quadratic Formula Calculator and Math Solver handle equation-based problems, while Factor and LCM & GCF cover the number-theory basics that usually come before algebra in a typical course.

For geometry — area, volume, angles, or side lengths — use Circle, Volume, Triangle, or the Pythagorean Theorem Calculator depending on the shape and the piece of information you're solving for.

For statistics, Average & Median and Standard Deviation both summarize a data set, but they answer different questions: averages describe the center of your data, while standard deviation describes how spread out it is.

Key concepts in math calculators

Mean vs. median
The mean is the sum of values divided by how many there are; the median is the middle value when data is sorted. The median is less affected by extreme outliers than the mean.
Standard deviation
A measure of how spread out a set of numbers is around its average — a small standard deviation means values cluster close to the mean, a large one means they're spread widely.
Quadratic formula
A formula that solves any equation of the form ax² + bx + c = 0 for x, using the coefficients a, b, and c directly, without needing to factor.
Greatest common factor (GCF)
The largest number that divides evenly into two or more numbers — commonly used to simplify fractions to their lowest terms.
Least common multiple (LCM)
The smallest number that two or more numbers divide into evenly — commonly used when adding or comparing fractions with different denominators.
Ratio
A comparison between two quantities showing how many times one contains the other, often written as a:b.
Pythagorean theorem
For a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides (a² + b² = c²) — used to find an unknown side length.
Binary and hexadecimal
Alternative number systems to the everyday base-10 system: binary uses only 0 and 1 (base 2), while hexadecimal uses 0–9 and A–F (base 16), both common in computing.

Common questions

Do these calculators show the steps, or just the final answer?
Each calculator page explains the formula it uses and walks through at least one worked example with real numbers, so you can follow the same steps with your own values rather than just reading off a result.

What's the difference between the Percentage Calculator and the Percent Off Calculator?
The Percentage Calculator handles general percentage math — what percent one number is of another, or what a percentage of a number equals. The Percent Off Calculator is built specifically for discounts, taking a price and a discount percentage to show the sale price and savings.

When should I use LCM & GCF instead of the Fraction Calculator?
Use the Fraction Calculator when you want to simplify, add, subtract, multiply, or divide fractions directly. Use LCM & GCF when you need the underlying building blocks — like finding a common denominator by hand, or simplifying a ratio to its lowest terms.

Can the Math Solver handle any equation?
It's built for common algebraic equation types students encounter in school, including linear and quadratic equations. For highly specialized or symbolic math (like calculus derivatives), a dedicated computer algebra tool would go further.

Why do I need both Average & Median and Standard Deviation for a data set?
They answer different questions. Average and median describe where the center of your data sits; standard deviation describes how tightly or loosely the data is clustered around that center. Two data sets can have the same average but very different spreads.

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