Fraction Quiz
Work out each fraction problem and pick the answer in lowest terms. 10 questions per round.
How the quiz works
Every question is generated fresh, and every answer is shown in lowest terms, with anything larger than one written as a mixed number. That rule is what keeps the quiz fair: 3/6 and 1/2 are the same number, so if both appeared as options there would be two right buttons. The wrong options are never random either โ each one is the result of a specific, common mistake.
When you pick a wrong answer, the quiz shows the working in one line โ for example 1/2 + 1/3 = 3/6 + 2/6 = 5/6 โ so you can see exactly which step differs from what you did.
The mistakes the wrong answers are built from
Fractions are one of the most reliable stumbling blocks in school mathematics, and the errors are remarkably consistent from one student to the next. Most come from treating a fraction as two separate whole numbers rather than as a single quantity โ researchers call it whole-number bias.
- Adding tops and bottoms separately. 1/2 + 1/3 = 2/5 looks tidy and is wrong: the answer 2/5 is smaller than 1/2, which it cannot be.
- Changing the denominator but not the numerator. Turning 1/2 into sixths means 3/6, not 1/6.
- Forgetting to flip when dividing. Dividing by 2/3 is multiplying by 3/2; multiplying straight across gives the wrong answer.
- Splitting a mixed number. Adding the whole parts and the fraction parts separately goes wrong as soon as the fractions carry over one.
Methods that make it faster
- Estimate first. Knowing that 1/2 + 1/3 must land between 1/2 and 1 rules out half the options before you calculate anything.
- Use the least common denominator rather than multiplying the two. For 1/4 + 1/6, twelfths keep the numbers small; twenty-fourths work but need simplifying afterwards.
- Cancel before multiplying. In 3/4 ร 8/9 the 3 and 9 share a 3 and the 4 and 8 share a 4, leaving 1/1 ร 2/3 โ no large numbers at all.
- For division, remember keep, change, flip: keep the first fraction, change รท to ร, flip the second.
- Turn mixed numbers into improper fractions before adding. 2 1/3 is 7/3, and working with one fraction avoids the carrying mistake.
Frequently asked questions
What kinds of problems are included?
Three levels. Same denominator covers adding, subtracting and simplifying fractions that share a bottom number. Different denominators needs a common denominator first. The third level has multiplication, division and adding mixed numbers.
Why are the answers always simplified?
So that each question has exactly one correct option. 3/6 and 1/2 are the same number, so offering both would make two buttons right. Answers larger than one are shown as mixed numbers, the way most textbooks write them.
Where do the wrong answers come from?
From the mistakes students actually make: adding the tops and the bottoms separately (1/2 + 1/3 = 2/5), forgetting to scale a numerator after changing the denominator, and forgetting to flip the second fraction when dividing. If you fall for one, the working shows which step went wrong.
Which grade is this for?
The first level matches the point where fractions are first added and subtracted, the second the point where common denominators are introduced, and the third the multiplication and division that usually follow a year or two later. Adults brushing up will find the third level the useful one.
Are the questions random?
Yes. Every question is generated fresh, so there is no fixed list to memorise and a new round is never the same as the last.
Can I use it in class?
Yes. It needs no account, works on phones and classroom screens, and the worked answer after each mistake makes it useful for going through a round together.