142 practice questions covering Fractions, organised into 0 topics. 142 questions include a written explanation. Pick a topic below, or try the samples first.
Where does $\frac{13}{5}$ lie on the number line?
Correct answer: B - Between $2$ and $3$
Since $\frac{13}{5} = 2\frac{3}{5}$, it lies between $2$ and $3$. Dividing $13$ by $5$ gives $2$ wholes with $3$ left over, so it is neither below $2$ nor above $3$.
When two fractions have the same numerator, which is larger?
Correct answer: A - The one with the smaller denominator
A smaller denominator means fewer, larger parts, so $\frac{3}{4}$ exceeds $\frac{3}{8}$. The number of digits is irrelevant, and equal numerators do not make fractions equal.
Which of these fractions is greater than $1$?
Correct answer: B - $\frac{11}{8}$
Since $11 > 8$, the fraction $\frac{11}{8}$ exceeds one whole. The fraction $\frac{8}{8}$ equals exactly $1$, and $\frac{7}{8}$ and $\frac{5}{8}$ are both less than $1$.
Five identical chocolate bars are shared equally among $8$ children. How much does each child get?
Correct answer: D - $\frac{5}{8}$ of a bar
Sharing $5$ wholes among $8$ children gives $\frac{5}{8}$ of a bar each. The fraction $\frac{8}{5}$ reverses the sharing, $\frac{5}{13}$ adds the numbers wrongly, and $1\frac{3}{5}$ would need more bars than children.
A $2$ metre ribbon is cut into pieces each $\frac{1}{4}$ metre long. How many pieces are obtained?
Correct answer: D - $8$
Each metre yields $4$ quarter-metre pieces, so $2$ metres yield $8$. Answering $4$ covers only one metre, $2$ repeats the length, and $16$ would need $4$ metres.
A recipe uses $\frac{1}{4}$ cup of oil, $\frac{1}{4}$ cup of milk and $\frac{1}{2}$ cup of water. How many cups of liquid in all?
Correct answer: A - $1$ cup
Writing everything in quarters gives $\frac{1}{4} + \frac{1}{4} + \frac{2}{4} = \frac{4}{4} = 1$ cup. Answering $\frac{3}{4}$ misses one quarter, and $\frac{3}{10}$ wrongly adds the denominators.
All 142 questions with timed practice, instant scoring, and explanations. Free forever.