Class 6 Types of Fractions — practice questions with answers

Fractions · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Which of these is a proper fraction?

A $\frac{7}{4}$
B $\frac{3}{5}$
C $\frac{9}{9}$
D $\frac{11}{8}$

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Answer: B)

\frac{3}{5}

A proper fraction has numerator smaller than denominator. Only

\frac{3}{5}

has 3 < 5.

2. Aarav writes the unit fraction with denominator 12. What is the fraction?

A $\frac{12}{1}$
B $\frac{1}{12}$
C $\frac{12}{12}$
D $\frac{1}{1}$

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Answer: B)

\frac{1}{12}

A unit fraction has numerator 1. With denominator 12 it is

\frac{1}{12}

3. Convert the mixed fraction

4 \frac{5}{6}

into an improper fraction.

A $\frac{29}{6}$
B $\frac{24}{6}$
C $\frac{20}{6}$
D $\frac{9}{6}$

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Answer: A)

\frac{29}{6}

4 \frac{5}{6} = \frac{4 \times 6 + 5}{6} = \frac{24 + 5}{6} = \frac{29}{6}

4. A baker in Kolkata uses

\frac{13}{6}

cups of flour for one batch of biscuits.
Writing this as a mixed number, what is the proper-fraction part (the fraction left after taking out the whole cups)?

A $\frac{1}{6}$
B $\frac{2}{6}$
C $\frac{5}{6}$
D $\frac{3}{6}$

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Answer: A)

\frac{1}{6}

13 ÷ 6 = 2 remainder 1, so

\frac{13}{6} = 2 \frac{1}{6}

. The fractional part is

\frac{1}{6}

5. A teacher asks the class to find every fraction of the form

\frac{n}{9}

(with n a whole number from 1 to 30) that is BOTH improper AND equal to a whole number.
How many such fractions are there?

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Answer: B) 3

Equal to a whole number means n is a multiple of 9 that is at least 9: n = 9, 18, 27 (giving 1, 2, 3). That is 3 fractions.

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