Math

Fraction of a Number

Three quarters of forty-eight is not a hard calculation, it is an ordering decision: divide by four, then multiply by three. Below: which order keeps the numbers whole, and why the answer is always below the whole.

Choose your difficulty

Pick a level to start playing. You can switch at any time.

How to play

Work out the fraction of the number, then tap the answer.

Tip: your progress and best score are saved in this browser only.

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What you are actually practicing

"Three quarters of forty-eight" is not a hard calculation. It is a decision about order: divide by four first, then multiply by three, or multiply first and divide later. One order keeps every intermediate number whole; the other produces fractions you then have to carry.

This game drills that decision, with denominators chosen so the answer is always a whole number.

How the game works

You are shown a fraction multiplied by a whole number, and four answers. Pick the correct one; a wrong pick reveals it immediately.

Easy uses halves, quarters and fifths. Medium adds thirds and sixths. Hard uses larger denominators where the division is the part that actually matters.

The relationship worth knowing

Fraction of a number = the number ÷ denominator × numerator. Three quarters of 48 is 48 ÷ 4 = 12, then 12 × 3 = 36.

Dividing first is usually safer, because the denominator always divides the number evenly in this game, while multiplying first can leave you with an awkward value to halve.

Strategies that actually raise your score

Divide first, always. If the denominator divides the number evenly, do that step before multiplying. It is the difference between 12 × 3 and 144 ÷ 4.

Use the size as a filter. A fraction less than one must give an answer smaller than the original number. Any option larger than 48 is wrong before you calculate.

Halve repeatedly for powers of two. A quarter of something is half of a half. For 3/4 of 48: half is 24, half again is 12, times three is 36.

Watch the "forgot to divide" option. 3 × 48 = 144 is deliberately among the answers. If your result equals the numerator times the whole number, you stopped one step early.

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