Study tips · 3 min read
How to Study Math Effectively: Habits That Work
Do problems, then check
After reading an example, cover it and try a similar problem yourself. Then compare with a step-by-step solver such as the fraction calculator or quadratic solver to see exactly where your working differs.
Try 3/4 − 5/6 by hand, then compare
- Decimal: −0.083333
Step-by-step working 6 steps
- 1Write the problem
3/4 − 5/6
Both numbers are already fractions.
- 2Find a common denominator
LCM(4, 6) = 12
The least common multiple of 4 and 6 is 12, so use 12 as the denominator.
- 3Rewrite both fractions
3×3/4×3 − 5×2/6×2 = 9/12 − 10/12
Multiply top and bottom of each fraction so the denominators match.
- 4Subtract the numerators
9 − 10 = −1 → −1/12
Keep the denominator unchanged.
- 5Simplify
1 and 12 share no common factor other than 1, so the fraction is already in lowest terms.
- 6Decimal and percent
−1/12 ≈ −0.083333 = −8.3333%
Space it out
Twenty minutes on five days beats two hours on one. Return to old topics every week so they do not fade.
Keep an error log
- Write the question, your answer and the correct answer.
- Name the mistake (sign error, wrong formula, arithmetic slip).
- Retry the problem a week later.
Many errors repeat — see common algebra mistakes.
Explain it aloud
If you can teach a method to someone else, you probably understand it. Use guides for explanations and formula sheets for revision.
Frequently asked questions
How long should I study maths each day?
Consistency matters more than length; 20–40 focused minutes is a good start.
Should I use a calculator when learning?
Use it to check, not to replace thinking: attempt the problem first.
Keep reading
How to Solve Math Word Problems: A Four-Step Method
A repeatable four-step method for math word problems — read, define, calculate, check — with percentage and speed examples.
Study tips10 Common Algebra Mistakes (With Numbers That Prove They’re Wrong)
The ten algebra errors students make most often, each disproved with a quick numerical check — (a+b)² ≠ a²+b², √(a+b) ≠ √a+√b, and more.
Study tipsMath Formulas to Know for the SAT, ACT and Similar Exams
A revision list of the algebra, geometry, trigonometry and statistics formulas students commonly need for school-leaving and admissions tests, with practice links.
Charts & referencesFraction to Decimal Chart: 25 Common Fractions
A printable fraction to decimal and percent chart for halves to twentieths, with the rule for spotting repeating decimals and how to convert any fraction.