The quiet, foundational operations. Fractions, factors, denominators — counted out with care.
Find the least common denominator for fractions and rewrite each fraction over it.
Add, subtract, multiply, or divide fractions and simplify the result, with the steps shown.
Simplify a ratio to lowest terms or solve a proportion for the missing value.
Round a number to the nearest place value or a set number of decimal places.
Find a percentage of a number, what percent one number is of another, and percentage change.
Convert a fraction to its decimal form by dividing, with the long-division steps shown.
Convert a number to and from scientific notation, with the exponent and steps shown.
Raise a base to any power, including negative and fractional exponents, with the steps shown.
Solve ax² + bx + c = 0 with the quadratic formula, including the discriminant and both roots.
Find the square root of any number as a decimal and, where possible, a simplified radical.
Find the greatest common factor of two or more numbers, with the working shown.
Find the least common multiple of two or more whole numbers for shared multiples and cycles.
Compute n! (the product of all whole numbers up to n) with the expansion shown.
Evaluate log base b of x — common log, natural log, or any custom base — with the steps shown.
Evaluate any expression in the correct PEMDAS/BODMAS order, with each step of the working shown.
Solve a/b = c/d for any missing term with full cross-multiplication working, check whether two ratios are in proportion, and handle inverse proportion.