Order of operations and integers
Evaluate expressions with parentheses, negative numbers, powers, multiplication, and division in the right order.
Work through the math between arithmetic and algebra. Enter an expression, fraction, ratio, or simple equation—or upload a clear photo—and review the method and answer step by step.
pre algebra calculator
Order of operations and integers
Fractions and decimals
Factors and exponents
Include the whole expression or equation, with parentheses, negative signs, and fraction bars clearly written. For a word problem, say what the unknown represents.
pre algebra calculator
Pre-algebra starts with reliable number skills and leads into variables. These are common questions you can enter in the solver above.
3 + 4 × 2 = 113/4 + 2/3 = 17/12GCF(18, 24) = 63x + 7 = 22 → x = 5Evaluate expressions with parentheses, negative numbers, powers, multiplication, and division in the right order.
Compare, simplify, convert, and calculate with fractions, mixed numbers, and decimals.
Find prime factors, greatest common factors, least common multiples, squares, roots, and simple powers.
Set up proportions, find a percent of a quantity, and solve one- or two-step equations with a variable.
Step
A small change in a sign or grouping can change the answer. Keep each operation visible as you work.
3(2 + 5) - 4 × 2Copy the numbers, operation signs, parentheses, and what you need to find. Upload a sharp photo if that is easier.
(2 + 5) = 7Decide whether to use operation order, a common denominator, factorization, a proportion, or inverse operations.
3 × 7 - 8Simplify one part at a time. For an equation, keep both sides balanced as you isolate the variable.
13 ✓Estimate whether the answer is reasonable and substitute a solved value back into the original equation.
Tip: 3 + 4 × 2 equals 11, not 14. Multiplication comes before addition unless parentheses change the order.
Example
Start with one of these, or enter your own problem above. Mixed numbers and fractions belong here without separate calculators.
Example 1
Evaluate 3(2 + 5) - 4 × 2.Do the parentheses first, then multiplication: 3 × 7 - 8 = 13.
Example 2
Add 3/4 and 2/3. Simplify the answer.Use a common denominator of 12: 9/12 + 8/12 = 17/12 = 1 5/12.
Example 3
Solve 3x + 7 = 22 and check the answer.Subtract 7, then divide by 3: x = 5. Check: 3(5) + 7 = 22.
Order of operations and integers
3 + 4 × 2 = 11Evaluate expressions with parentheses, negative numbers, powers, multiplication, and division in the right order.
Fractions and decimals
3/4 + 2/3 = 17/12Compare, simplify, convert, and calculate with fractions, mixed numbers, and decimals.
Factors and exponents
GCF(18, 24) = 6Find prime factors, greatest common factors, least common multiples, squares, roots, and simple powers.
Ratios, percents, and basic equations
3x + 7 = 22 → x = 5Set up proportions, find a percent of a quantity, and solve one- or two-step equations with a variable.
Formula guides
Review the related formulas, when to use them, and how they connect in a worked example.
Use these checks when the answer looks wrong or your steps do not match the original problem.
Handle grouping and powers before multiplication or division, then addition or subtraction from left to right.
For fraction addition, find a common denominator and add the numerators. Do not add the denominators.
Keep negative numbers in parentheses when substituting, and check every sign after distributing.
Find the LCM of 8, 10, and 12 by writing each number as a product of prime factors and multiplying the highest powers of each prime. The least common multiple is 120.
Simplify the expression inside the parentheses first: 3320 − 572 + 2317 = 5065. Then subtract 5065 from 6106 to get 1041.
Learn how to subtract positive numbers from negative integers by solving the basic arithmetic problem -2 - 5 step-by-step to get -7.
Learn how to evaluate the expression 2 1/2 + 2 2/3 ÷ 2 1/3 by converting mixed numbers to improper fractions, applying the order of operations to divide first, and then adding the fractions.
Learn how to find the product of 23223 and 787 using the distributive property. This clear arithmetic walkthrough shows the multiplication steps and final result.
Step-by-step solutions for simplifying arithmetic expressions involving mixed fractions and solving for missing numbers in basic equations.

