## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Check Your Progress

Question 1.

State whether the following statements are true (T) or false (F):

(i) The fraction \(\frac{2}{3}\) lies between 2 and 3.

(ii) To find an equivalent fraction to a given fraction, we may add or subtract the same (non-zero) number to its numerator and denominator.

(iii) To add or subtract like fractions, we add or subtract the numerators while keeping the denominator same.

Solution:

Question 2.

How many natural numbers are there between 102 and 112? What fraction of them are prime numbers?

Solution:

Question 3.

Match the equivalent fractions from each row:

Solution:

Question 4.

Replace by an appropriate symbol ‘< or >’ between the given fractions:

Solution:

Question 5.

Arrange the following fractions in descending order : \(\frac{7}{30}, \frac{13}{15}, \frac{9}{10}, \frac{3}{5}\)

Solution:

Question 6.

Simplify: \(2 \frac{1}{2}-3 \frac{1}{4}+5 \frac{5}{6}\)

Solution:

Question 7.

Evaluate the following:

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Question 8.

Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is \(\frac{5}{6}\) full and Samuel’s shelf is \(\frac{3}{5}\) full. Whose bookshelf is more full and by what fraction?

Solution:

Question 9.

A farmer uses four out of five equal strips of his land for wheat crop and \(\frac{1}{7}\) of his land for cereal crop. What fraction of his land is available for other crops?

Solution: