Math Calculators — Solve Problems Instantly

The standard order is Parentheses, Exponents, Multiplication and Division (left to right), then Addition and Subtraction (left to right) — often remembered as PEMDAS. Our calculators follow this order automatically, so your results are always mathematically correct.

Many of our math tools display the formula used and intermediate steps where applicable. This makes them valuable study aids — you can verify your own work and understand where your approach may have diverged from the correct method.

Yes. The formulas behind our calculators are the same ones taught in university courses. While they won't replace a full computer algebra system for symbolic manipulation, they handle numerical computation accurately for algebra, geometry, trigonometry, and basic calculus applications.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). First, find the GCD of the two numbers (using the Euclidean algorithm or factoring). For example, to simplify 12/18: GCD of 12 and 18 is 6 → 12÷6=2 and 18÷6=3, so 12/18 = 2/3. Always reduce to the lowest terms. Our fraction simplifier calculator instantly finds the GCD and reduces any fraction for you, saving time on homework or exams.

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply numerator and denominator by 10 for each decimal place. For example, 0.75 = 75/100 → simplify by dividing by 25 → 3/4. For repeating decimals like 0.333… = 1/3. Our decimal to fraction calculator handles terminating, repeating, and mixed decimals automatically, showing both the exact fraction and simplified form.

PEMDAS (Parentheses, Exponents, Multiplication & Division from left to right, Addition & Subtraction from left to right) is the standard rule for solving math expressions in the correct order. Without it, the same expression can give different answers (e.g., 2 + 3 × 4 = 14 with PEMDAS, but 20 if done left to right). It ensures consistency in math and science calculations. Use our order of operations calculator to enter any expression and see step-by-step PEMDAS evaluation.

Long division with decimals works the same as whole numbers — just align the decimal point and add zeros to the dividend if needed. For example, 12.5 ÷ 2.5: multiply both by 10 to make 125 ÷ 25 = 5. If dividing by a decimal, move the decimal point in the divisor to make it a whole number and do the same in the dividend. Our long division calculator shows every step (including decimals), remainders, and decimal places — perfect for checking homework or learning the process.