Fractions quiz

More questions about Fractions

These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.

1. 1 Easy

   What is 5 divided by $\frac{1}{2}$?

   Answer: 10

   Why: Dividing by $\frac{1}{2}$ asks how many halves fit in 5, and with two in every whole that makes 10, not 2.5.

2. 2 Medium

   Which is the least common denominator of $\frac{1}{4}$ and $\frac{1}{6}$?

   Answer: 12

   Why: Multiplying the denominators gives 24, which works but is not the lowest; 12 is the smallest number that both 4 and 6 go into.

3. 3 Hard

   How did ancient Egyptians write $\frac{2}{5}$?

   Answer: $\frac{1}{3}+\frac{1}{15}$

   Why: The Rhind papyrus, copied around 1550 BC, lists such unit-fraction sums for 2/n with every odd n from 3 to 101.

4. 4 Easy

   How is $2\frac{1}{4}$ written as one fraction?

   Answer: $\frac{9}{4}$

   Why: In algebra, side-by-side symbols mean multiply, so $2\frac{1}{4}$ can be misread as $2 \times \frac{1}{4}$, which is only $\frac{1}{2}$.

5. 5 Medium

   Paint is mixed 2 parts red to 3 parts white. What fraction is red?

   Answer: $\frac{2}{5}$

   Why: A ratio of 2 to 3 compares part with part, so red is 2 of the 2 + 3 = 5 parts, not 2 of 3.

6. 6 Hard

   Which weight's name comes from the Latin for 'one twelfth'?

   Answer: Ounce

   Why: Latin uncia also gave English the word 'inch', one twelfth of a foot.