Free Australian calculators

Maths Calculators

Free maths calculators that show their working — percentages and percentage change, fractions, ratios, weighted averages and a full scientific calculator. Useful for homework, everyday sums at work and checking your own answers, with formulas and worked examples on every page.

  • 6 free calculators
  • No sign-up
  • Australian settings
  • Formulas explained

Percentage Calculators

Find a percentage of a number, what percent one number is of another, and percentage increase or decrease.

3 tools

Fraction & Ratio Calculators

Add, subtract, multiply, divide and simplify fractions, and solve, simplify or scale ratios.

2 tools

Averages & Scientific Calculators

Weighted means for grades and data, plus trigonometry, logarithms, powers and roots.

3 tools

Which Calculator Do I Need?

If you want to know…Use
What is 15% of a number?Percentage Calculator
What is the percentage increase or decrease between two numbers?Percentage Change Calculator
How do I add or simplify fractions?Fraction Calculator
How do I solve or scale a ratio like 3:4?Ratio Calculator
How do I find a weighted average?Weighted Average Calculator
How do I calculate sin, cos, log or a power?Scientific Calculator

Percentages Made Simple

Percent means 'per hundred'. To find a percentage of a number, multiply by the percentage and divide by 100: 15% of 80 is 80 × 15 ÷ 100 = 12. To find what percent one number is of another, divide and multiply by 100: 12 out of 80 is 15%. The percentage calculator handles all of these.

Percentage change compares a new value with an old one: (new − old) ÷ old × 100. A price that rises from $50 to $60 has increased by 20%. The percentage change calculator also shows percentage difference, which compares two values without treating either as the starting point.

Fractions and Ratios

To add fractions, rewrite them over a common denominator first: 1/3 + 1/4 = 4/12 + 3/12 = 7/12. The fraction calculator works with proper fractions, improper fractions and mixed numbers, simplifies the answer and shows each step.

Ratios compare quantities. Simplify a ratio by dividing both parts by their greatest common factor (12:18 becomes 2:3), and scale it by multiplying both parts by the same number. The ratio calculator solves missing values such as 3:4 = x:20, and is handy for recipes, mixing, maps and screen aspect ratios.

Averages and Scientific Functions

A weighted average multiplies each value by its weight, adds the results and divides by the total weight. If an exam worth 60% scores 70 and an assignment worth 40% scores 85, the weighted average is 0.6 × 70 + 0.4 × 85 = 76. The weighted average calculator does this for any number of items.

For trigonometry, logarithms, exponents, roots and brackets, the scientific calculator follows the standard order of operations and lets you switch between degrees and radians.

Frequently Asked Questions

How do I calculate a percentage of a number?

Multiply the number by the percentage and divide by 100. For example, 25% of 240 is 240 × 25 ÷ 100 = 60. The percentage calculator does this instantly.

How do I work out percentage increase?

Subtract the old value from the new value, divide by the old value and multiply by 100. Going from 80 to 100 is (100 − 80) ÷ 80 × 100 = 25%. Use the percentage change calculator for increases and decreases.

How do I simplify a fraction?

Divide the top and bottom by their greatest common factor. 18/24 has a greatest common factor of 6, so it simplifies to 3/4. The fraction calculator simplifies every answer automatically.

How do I solve a ratio?

Set the ratios as equal fractions and cross-multiply. For 3:4 = x:20, x = 3 × 20 ÷ 4 = 15. The ratio calculator solves for any missing value.

What is the difference between an average and a weighted average?

A simple average treats every value equally. A weighted average gives some values more influence — for example, a final exam that counts for 50% of a subject. Use the weighted average calculator when items count differently.

Can I use the scientific calculator for trigonometry in degrees?

Yes. The scientific calculator has a degrees and radians switch, so sin(30) gives 0.5 in degree mode. It also supports logs, powers, roots, factorials and brackets.

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