2026-09-29 9 min

Step-by-Step Math Solver

Free step-by-step math solver: evaluate a three-number expression with correct precedence (×÷ before +−), showing each pass explicitly.

Calculator

Expression Parts

First number

Second number

Third number

First operator

Second operator

Results update live as you type

Status:6 + 4 × 2= 14

Solution Summary

Expression6 + 4 × 2

First pass4 × 2 = 8

Answer= 14

Results

Optimal

Answer

6 + 4 × 2 with precedence

First pass (×÷)

4 × 2 = 8

Higher precedence collapses first

Second pass (+−)

Finish left to right

Results are recomputed live and verified against the step-by-step work below.

Visualizations

Operands vs answer

6n1

4n2

2n3

14ans

Formula

Multiplication and division bind tighter, so they collapse first; addition and subtraction finish the job.

Pass 1: × and ÷ left to right · Pass 2: + and − left to right

Alternative Form

Parentheses would come first — this solver handles the flat precedence chain

Variables

Symbol	Name	Unit	Description
n1..n3	Operands	numbers	The three values
op1, op2	Operators	choices	+, −, × or ÷ each
pass1	First collapse	number	×÷ resolved
result	Answer	number	After the +− pass

Explanation

Scan for × and ÷ first, replacing that pair with its value; then fold the remaining + and − left to right.

Derivation

Standard precedence (PEMDAS/BODMAS): M/D outrank A/S; same-rank operators go left to right.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

Write the expression.

n1 op1 n2 op2 n3

e:6 + 4 × 2

Result: 6 + 4 × 2

Step 2

First pass: collapse × and ÷ (left to right).

Precedence pass

p:4 × 2 = 8

Result: 4 × 2 = 8

Step 3

Second pass: fold + and − left to right.

Finish

ans:14

Result: = 14

Step 4

Recompute with the collapsed value inserted.

Verify

ans:14

Result: = 14 ✓

Final Answer

Worked Examples

See how the calculator works with different scenarios.

Scenario

Times before plus.

Inputs

n1:6

n2:4

n3:2

op1:+

op2:*

Calculation

4 × 2 = 8, then 6 + 8 = 14

Result

Interpretation

Not 20 — precedence matters.

Understanding Your Result

What This Means

The headline result is the exact answer for the step-by-step math solver inputs you entered, with supporting values shown beside it.

Why It Matters

Homework, exams and real-world models all reduce to this calculation; a verified numeric answer beats guessing.

Professional Interpretation

Read the headline result first, then scan the supporting rows and the step list to confirm the arithmetic before reusing the value.

Recommendations

•Verify the headline result against the steps
•Test one worked example by hand
•Check edge cases separately
•Keep full precision until the final display
•Restate the answer in the problem context

Educational Content

Introduction

This step-by-step math solver evaluates your inputs with closed-form arithmetic and shows every intermediate value.

Concept Explanation

Scan for × and ÷ first, replacing that pair with its value; then fold the remaining + and − left to right.

Applications

▸Homework and exams

▸Engineering checks

▸Finance models

▸Science labs

▸Programming logic

▸Everyday estimation

Benefits

•Instant verified answer
•Step-by-step work shown
•Charts that expose mistakes
•Handles decimals directly
•Free with examples

Limitations

•Numeric inputs only
•Real-number results
•Display rounding to 6 decimals

Best Practices

•Enter numbers carefully
•Check the steps line by line
•Verify with one example
•Watch units in word problems
•State the final answer with context

Common Misconceptions

Myth: One input is enough.

Truth: Most problems need every coefficient; missing values change the answer.

Myth: Rounding early is fine.

Truth: Keep full precision until the final display to avoid drift.

Myth: The chart is decoration.

Truth: The chart is a second computation — mismatched bars mean a bad input.

Myth: Any rearrangement works.

Truth: Only equivalent operations preserve equality; follow the steps.

Practical Tips

•Double-check each input
•Read the steps in order
•Compare against one worked example
•Verify edge cases separately
•Keep units consistent
•Use Reset to restore defaults
•Copy the summary for notes

Common Mistakes

Typing a value in the wrong field

Match each label to the formula variables before calculating.

Dividing by zero

Check denominators and leading coefficients first.

Ignoring the steps

The step list shows exactly where a sign or arithmetic slip hides.

Rounding mid-calculation

Round only the displayed answer.

Forgetting to verify

Substitute the answer back into the original statement.

Assumptions

This calculator makes the following assumptions to provide estimates:

Real numbers: Inputs and outputs are real numbers.

Exact inputs: Coefficients are taken as given.

Standard notation: Conventional symbols and operator precedence.

Display rounding: Six decimals in outputs.

Limitations

Be aware of these limitations when using this calculator:

Numeric scope: Symbolic parameters need the advanced pages.

Single scenario: One input set per calculation.

No units conversion: Convert units before entering values.

Frequently Asked Questions

Answers to common questions about this calculator.

What is the order of operations?

Parentheses, then ×÷ left to right, then +− left to right (PEMDAS/BODMAS without exponents here).

Why is 6 + 4 × 2 = 14, not 20?

The × binds tighter: 4 × 2 = 8 first, then 6 + 8 = 14.

Same-rank operators?

Go left to right: 20 ÷ 4 ÷ 5 = (20 ÷ 4) ÷ 5 = 1.

What about division by zero?

Undefined — the solver flags it instead of answering.

How do I show my work?

Copy the two passes: first the ×÷ collapse, then the +− fold.

Parentheses?

They outrank everything, but this solver takes the flat chain — add grouping by hand first.

Related Calculators

Explore more calculators related to this topic.

Related Guides

Deepen your understanding with these educational resources.

Showing your steps

Write one operation per line.

Checking answers

Substitute back every time.

Reading interval notation

Brackets include, parentheses exclude.

Word-problem setup

Name variables before computing.

Glossary

Technical terms used in mortgage calculations explained in plain language.

Solution set: All values satisfying the given statement.
Interval notation: Compact bracket notation for ranges of the number line.
Critical value: A point where the expression is zero or undefined, splitting sign regions.
Verification: Substituting the answer back to confirm the original statement.
Closed form: An exact formula evaluated directly, not an approximation loop.
Edge case: Inputs where the usual rule breaks, such as zero denominators.

Authoritative References

Trusted sources and standards referenced by this calculator.

Khan Academy — Math foundations Math is Fun — Index Purplemath — Lessons Wikipedia — Mathematics Cuemath — Math resources

Applicable Standards

Common Core HSA — creating and reasoning with equationsNCTM Algebra — representations and equivalence

Was This Calculator Helpful?

Report Issue

Page Information

Last Updated:

2026-09-29

Version:

2.0.0

References:

License:

Free to use for educational and professional purposes.