CBSE Class 5 Mathematics Largest Smallest Worksheet

Which are the world's largest and smallest countries?

Multiply or divide. Give the answer in the lowest term or mixed number. Then match the letter to the answer below.

Question 1. \(\textcircled{A} \; \frac{3}{4} \div \frac{1}{3}\)
Answer: \(\frac{3}{4} \div \frac{1}{3}\)
\(= \frac{3}{4} \times \frac{3}{1}\)
\(= \frac{9}{4}\)
\(= 2 \frac{1}{4}\)
In simple words: To divide fractions, multiply the first fraction by the reciprocal of the second fraction, then convert the improper fraction into a mixed number.

Exam Tip: Always remember "Keep-Change-Flip" when dividing fractions: keep the first fraction, change division to multiplication, and flip the second fraction.

Question 2. \(\textcircled{C} \; \frac{3}{7} \div \frac{2}{5}\)
Answer: \(\frac{3}{7} \div \frac{2}{5}\)
\(= \frac{3}{7} \times \frac{5}{2}\)
\(= \frac{15}{14}\)
\(= 1 \frac{1}{14}\)
In simple words: Multiply the numerator by the numerator and the denominator by the denominator after flipping the divisor.

Exam Tip: Check if the resulting fraction can be simplified before converting it into a mixed number.

Question 3. \(\textcircled{S} \; \frac{4}{5} \div \frac{2}{4}\)
Answer: \(\frac{4}{5} \div \frac{2}{4}\)
\(= \frac{4}{5} \times \frac{4}{2}\)
\(= \frac{16}{10}\)
\(= \frac{8}{5}\)
\(= 1 \frac{3}{5}\)
In simple words: Simplify the fraction to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Exam Tip: You can also simplify \(\frac{2}{4}\) to \(\frac{1}{2}\) first, making the calculation \(\frac{4}{5} \div \frac{1}{2} = \frac{8}{5}\).

Question 4. \(\textcircled{I} \; 2 \frac{2}{3} \div 3\)
Answer: \(2 \frac{2}{3} \div 3\)
\(= \frac{8}{3} \div \frac{3}{1}\)
\(= \frac{8}{3} \times \frac{1}{3}\)
\(= \frac{8}{9}\)
In simple words: Convert the mixed number into an improper fraction first, then divide by multiplying by the reciprocal of 3.

Question 5. \(\textcircled{R} \; \frac{2}{5} \times 1 \frac{1}{4}\)
Answer: \(\frac{2}{5} \times 1 \frac{1}{4}\)
\(= \frac{2}{5} \times \frac{5}{4}\)
\(= \frac{10}{20}\)
\(= \frac{1}{2}\)
In simple words: Convert the mixed number to an improper fraction, multiply straight across, and simplify the result.

Exam Tip: Look for cross-simplification: the 5s cancel out and 2 in the numerator simplifies with 4 in the denominator to give \(\frac{1}{2}\).

Question 6. \(\textcircled{A} \; \frac{2}{3} \times 1 \frac{1}{5}\)
Answer: \(\frac{2}{3} \times 1 \frac{1}{5}\)
\(= \frac{2}{3} \times \frac{6}{5}\)
\(= \frac{12}{15}\)
\(= \frac{4}{5}\)
In simple words: Convert the mixed number, multiply numerators and denominators, and reduce the fraction by dividing by 3.

Exam Tip: Cross-cancel 3 and 6 by dividing both by 3 to get \(\frac{2}{1} \times \frac{2}{5} = \frac{4}{5}\) instantly.

Question 7. \(\textcircled{I} \; \frac{3}{5} \times 2 \frac{2}{7}\)
Answer: \(\frac{3}{5} \times 2 \frac{2}{7}\)
\(= \frac{3}{5} \times \frac{16}{7}\)
\(= \frac{48}{35}\)
\(= 1 \frac{13}{35}\)
In simple words: Change the mixed number into an improper fraction, multiply across, and convert the result into a mixed number.

Exam Tip: Verify if 48 and 35 share any common factors. Since they do not, the fraction is in its lowest term.

Question 8. \(\textcircled{Y} \; \frac{1}{3} \times 1 \frac{3}{5}\)
Answer: \(\frac{1}{3} \times 1 \frac{3}{5}\)
\(= \frac{1}{3} \times \frac{8}{5}\)
\(= \frac{8}{15}\)
In simple words: Convert the mixed fraction and multiply numerators and denominators together.

Exam Tip: Since 8 and 15 have no common factors other than 1, \(\frac{8}{15}\) is already in simplest form.

Question 9. \(\textcircled{N} \; \frac{6}{9} \div 4\)
Answer: \(\frac{6}{9} \div 4\)
\(= \frac{2}{3} \div \frac{4}{1}\)
\(= \frac{2}{3} \times \frac{1}{4}\)
\(= \frac{2}{12}\)
\(= \frac{1}{6}\)
In simple words: Simplify the fraction first, then multiply by the reciprocal of 4.

Exam Tip: Simplifying fractions before performing operations keeps numbers small and manageable.

Question 10. \(\textcircled{U} \; \frac{6}{7} \div 8\)
Answer: \(\frac{6}{7} \div 8\)
\(= \frac{6}{7} \times \frac{1}{8}\)
\(= \frac{6}{56}\)
\(= \frac{3}{28}\)
In simple words: Write 8 as \(\frac{8}{1}\), flip it to \(\frac{1}{8}\), multiply, and simplify.

Exam Tip: You can cross-cancel 6 and 8 by dividing both by 2 to get \(\frac{3}{7} \times \frac{1}{4} = \frac{3}{28}\).

Question 11. \(\textcircled{S} \; 6 \div \frac{5}{9}\)
Answer: \(6 \div \frac{5}{9}\)
\(= \frac{6}{1} \times \frac{9}{5}\)
\(= \frac{54}{5}\)
\(= 10 \frac{4}{5}\)
In simple words: Multiply whole number 6 by the reciprocal of \(\frac{5}{9}\), which is \(\frac{9}{5}\).

Exam Tip: Whole numbers can always be written with a denominator of 1.

Question 12. \(\textcircled{T} \; 4 \div \frac{3}{14}\)
Answer: \(4 \div \frac{3}{14}\)
\(= \frac{4}{1} \times \frac{14}{3}\)
\(= \frac{56}{3}\)
\(= 18 \frac{2}{3}\)
In simple words: Multiply 4 by \(\frac{14}{3}\) to get the improper fraction, then convert to a mixed number.

Exam Tip: \(56 \div 3 = 18\) with a remainder of 2, so the mixed number is \(18 \frac{2}{3}\).

Question 13. \(\textcircled{C} \; 7 \times \frac{5}{6}\)
Answer: \(7 \times \frac{5}{6}\)
\(= \frac{7}{1} \times \frac{5}{6}\)
\(= \frac{35}{6}\)
\(= 5 \frac{5}{6}\)
In simple words: Multiply the whole number by the numerator and keep the same denominator.

Question 14. \(\textcircled{A} \; 3 \times \frac{7}{8}\)
Answer: \(3 \times \frac{7}{8}\)
\(= \frac{21}{8}\)
\(= 2 \frac{5}{8}\)
In simple words: Multiply 3 by 7 to get 21, then divide by 8 to convert to a mixed number.

Exam Tip: \(21 \div 8 = 2\) with a remainder of 5, so the answer is \(2 \frac{5}{8}\).

Question 15. \(\textcircled{T} \; \frac{9}{10} \times 3\)
Answer: \(\frac{9}{10} \times 3\)
\(= \frac{27}{10}\)
\(= 2 \frac{7}{10}\)
In simple words: Multiply the numerator 9 by the whole number 3 and place it over the denominator 10.

Exam Tip: Always double check if your improper fraction can be reduced before converting to a mixed number.

Question 16. \(\textcircled{I} \; 5 \frac{5}{8} \times \frac{2}{5}\)
Answer: \(5 \frac{5}{8} \times \frac{2}{5}\)
\(= \frac{45}{8} \times \frac{2}{5}\)
\(= \frac{90}{40}\)
\(= \frac{9}{4}\)
\(= 2 \frac{1}{4}\)
In simple words: Convert the mixed fraction to improper form, cross-cancel common factors, and simplify.

Exam Tip: Cross-canceling 45 with 5 (giving 9 and 1) and 2 with 8 (giving 1 and 4) makes this calculation extremely fast: \(\frac{9}{4} \times \frac{1}{1} = \frac{9}{4} = 2 \frac{1}{4}\).

Question 17. \(\textcircled{V} \; \frac{6}{7} \div \frac{5}{7}\)
Answer: \(\frac{6}{7} \div \frac{5}{7}\)
\(= \frac{6}{7} \times \frac{7}{5}\)
\(= \frac{42}{35}\)
\(= \frac{6}{5}\)
\(= 1 \frac{1}{5}\)
In simple words: When dividing two fractions with the same denominator, you can simply divide their numerators.

Exam Tip: The 7s in the numerator and denominator cancel out immediately when multiplying by the reciprocal, leaving \(\frac{6}{5}\).

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