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Addition

Can two fractions that are each smaller than one still add up to more than a whole? Adding fractions is full of small surprises like that, and these quizzes build the skill from simple halves to trickier fifths.

Adding Fractions with Unlike Denominators

Each quiz gives you pairs of fractions to add, finding a common denominator and simplifying along the way. You will start with friendly problems like 1/2 + 1/3, then move to combinations such as 2/3 + 1/4 and 3/4 + 1/5, where the denominators share no simple factors and the common denominator grows.

These sets run from beginner to intermediate. With bigger denominators like 12 or 20, finding the common denominator becomes the real job, and the adding itself turns out to be the easy part. Whether a total comes out as a proper fraction, a whole number, or a mixed number, the same steps get you there.

Did You Know?

Two fractions under one can still cross past a whole. Add 1/2 + 3/4 and you get 5/4, or 1 1/4, which tips just over one.

When both fractions sit close to a whole, like 3/4 + 4/5, the answer almost always lands on a mixed number. And fractions that already share a denominator are the easiest of all, since 2/5 + 3/5 simply makes 1.

How the Quizzes Work

Each quiz is short, about five minutes, and you can repeat any of the 4 sets until common denominators come quickly. Building from halves to fifths one step at a time keeps the harder problems from feeling like a leap, and matching the denominators, not the adding, is where the real practice lies. A few totals even land on exactly 1, a tidy reminder that fractions sharing a denominator are the simplest to combine. Ready to add fractions with confidence? Try the free interactive math quizzes and start at your level.

1. Adding Fractions 1

This fraction quiz gives you 20 problems where you add two fractions together. The numbers stay friendly, built mostly from halves and thirds, so it is recommended for students just getting started with fractions. You will work through problems like 1/2 + 1/3 and 1/2 + 3/4, finding a common denominator and simplifying along the way. Something the quiz quietly teaches: two fractions that are each smaller than one can still add up to more than a whole, which is exactly what happens when 1/2 + 3/4 tips past one.
score: 86% (everyone)
20 questions

2. Adding Fractions 2

Here are 20 problems that all ask you to add a pair of fractions. The starting numbers lean on thirds, fourths, and fifths, so the common denominators grow a little and the work gets slightly tougher than with plain halves. Expect problems such as 2/3 + 1/4 and 2/3 + 3/5, where the total often carries past a whole number. Recommended for students who have the basics down and want more of a stretch. One thing you will notice: with bigger denominators like 12 or 15, finding the common denominator is the real job, and the adding is the easy part.
score: 87% (everyone)
20 questions

3. Adding Fractions 3

This quiz hands you 20 fraction addition problems built around fourths and fifths. Since those denominators share no simple factors, you spend more time hunting for a common denominator like 20, which bumps up the difficulty a notch. Sample problems include 3/4 + 1/5 and 3/4 + 3/5. Recommended for students ready to take on trickier combinations. A pattern worth catching: when both fractions sit close to a whole, like 3/4 + 4/5, the answer sails past one and you land on a mixed number almost every time.
score: 91% (everyone)
20 questions

4. Adding Fractions 4

With 21 problems, this is the most demanding of the fraction addition quizzes, leaning heavily on fifths alongside halves and thirds. You will tackle additions like 2/5 + 3/5 and 3/5 + 2/3, some landing on a clean whole number and others on a mixed number you will need to simplify. Recommended for students who are already comfortable adding fractions with unlike denominators. A satisfying detail: a few problems, such as 2/5 + 3/5, add up to exactly 1, a nice reminder that fractions sharing a denominator are the easiest kind to combine.
score: 83% (everyone)
21 questions