Academy Directory

Mathematics Core Solver & Guides

Solve fractions, linear and quadratic equations, ratios, and percentage conversions with step-by-step math solvers.

Topic tags:Fractions & DecimalsRatios & ProportionsPercentagesEquationsGrading Credit
Interactive Sandbox

Advanced Mathematics Engine

Graph quadratic parabolas, visualize trigonometric unit circles, practice step-by-step equation solutions, export custom worksheets, and switch between Student, Classroom, Teacher, and Parent modes.

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Interactive Study Guides

Algebra Essentials

Learn the fundamentals of algebra, linear and quadratic equations, exponent laws, and basic rules with worked examples and our interactive calculator solver.

8 Study Sections • Quiz IncludedRead Guide

Fractions & Rational Math

Learn how to add, subtract, multiply, and divide fractions, find Least Common Denominators, and convert mixed numbers with worked examples and solvers.

8 Study Sections • Quiz IncludedRead Guide

Active Calculators & Solvers

Percentage Calculator

Solve any percentage problem: what is X% of Y, X is what percent of Y, or percentage increase/decrease from X to Y.

3 Inputs • 1 OutputsLaunch

GPA Calculator

Calculate your semester GPA (Grade Point Average) dynamically based on grades and credit hours for up to 4 courses.

8 Inputs • 3 OutputsLaunch

Fraction Calculator

Perform arithmetic operations on fractions: add, subtract, multiply, and divide two fractions. Simplifies the results dynamically and provides decimal equivalencies.

5 Inputs • 2 OutputsLaunch

Decimal to Fraction Converter

Convert any positive or negative decimal value into its simplest fraction form, showing both proper/mixed fractions and percentages.

1 Inputs • 2 OutputsLaunch

Ratio Calculator

Simplify given ratios to their simplest form, or solve for missing variables to compute equivalent proportions.

3 Inputs • 2 OutputsLaunch

Percentage Increase/Decrease Calculator

Calculate the percentage change between an initial and a final value, determining whether it represents an increase or decrease.

2 Inputs • 2 OutputsLaunch

Core Equations & Explanations

Fraction Addition & Subtraction

a/b ± c/d = (ad ± bc) / bd

Find the Least Common Denominator (LCD) of the denominators b and d, convert each fraction accordingly, and sum/subtract the numerators.

Percentage Change Formula

Change % = ((New Value - Old Value) / Old Value) * 100

Calculates the relative increase or decrease between two values. A positive result denotes growth; a negative result denotes drop.

Ratio Equivalency Proportion

a / b = c / d => a * d = b * c

Cross-multiplication solves for any missing value in equivalent fractions or proportions.

Practice Questions

If a product's price drops from $80 to $60, what is the percentage decrease?

What is the sum of 3/4 and 1/6 in simplified fraction form?

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