CBSE Class 5 Mathematics Fractions Worksheet Set 07

Q1 Answer the following

Question 1(a). Rahul ate 1/5 of a cake and Sohan ate 2/5 of a cake. Who ate a bigger portion of the cake ?
Answer: Comparing the two fractions with the same denominator:
Rahul's portion = \(\frac{1}{5}\)
Sohan's portion = \(\frac{2}{5}\)
Since the denominators are equal, we compare the numerators: 2 is greater than 1.
Therefore, \(\frac{2}{5} > \frac{1}{5}\).
Sohan ate a bigger portion of the cake.
In simple words: When cakes are cut into 5 equal pieces, 2 pieces are more than 1 piece.

Exam Tip: When fractions have the same denominator, the fraction with the larger numerator is always greater.

Question 1(b). Richa has 1/3 of a pizza and Sonam has 1/2 of a pizza of the same size. Who has the bigger portion of the pizza?
Answer: To compare fractions with different denominators, we find a common denominator or convert them to equivalent fractions with the same denominator:
Richa's portion = \(\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}\)
Sonam's portion = \(\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}\)
Comparing \(\frac{2}{6}\) and \(\frac{3}{6}\), since \(3 > 2\), Sonam has the bigger portion.
In simple words: Dividing a pizza into 2 equal parts gives larger pieces than dividing it into 3 equal parts.

Exam Tip: For unit fractions (numerator 1), the fraction with the smaller denominator is always greater.

Question 1(c). ___________________ fractions represent same part of the whole.
Answer: Equivalent
In simple words: Fractions like \(\frac{1}{2}\) and \(\frac{2}{4}\) look different but represent the exact same amount.

Exam Tip: Remember that multiplying or dividing both the numerator and denominator by the same non-zero number gives an equivalent fraction.

Question 1(d). A fraction in which the numerator is greater than the denominator is called an _______________________ fraction.
Answer: improper
In simple words: When the top number is bigger than the bottom number, it is an improper fraction.

Exam Tip: Improper fractions can always be converted into mixed numbers.

Question 1(e). To convert unlike fractions into like fractions, we need to find the __________________ of the denominators.
Answer: LCM (Lowest Common Multiple)
In simple words: We find the lowest common multiple so all fractions have the same bottom number.

Exam Tip: Always find the LCM of the denominators before adding or subtracting unlike fractions.

Q2 Write each fraction in its lowest term ;

Question 2(a). \(\frac{8}{12}\)
Answer: Find the HCF of 8 and 12, which is 4.
Divide both numerator and denominator by 4:
\(\frac{8 \div 4}{12 \div 4} = \frac{2}{3}\)
In simple words: Divide the top and bottom numbers by their highest common factor to simplify.

Exam Tip: A fraction is in its lowest term when the numerator and denominator have no common factor other than 1.

Question 2(b). \(\frac{2}{8}\)
Answer: Find the HCF of 2 and 8, which is 2.
Divide both numerator and denominator by 2:
\(\frac{2 \div 2}{8 \div 2} = \frac{1}{4}\)
In simple words: Divide top and bottom by 2.

Exam Tip: Always check if both numbers are even; if they are, they can be simplified further by at least 2.

Question 2(c). \(\frac{3}{18}\)
Answer: Find the HCF of 3 and 18, which is 3.
Divide both numerator and denominator by 3:
\(\frac{3 \div 3}{18 \div 3} = \frac{1}{6}\)
In simple words: Divide top and bottom by 3.

Exam Tip: If the numerator divides evenly into the denominator, the lowest term will always have 1 as the numerator.

Question 2(d). \(\frac{3}{6}\)
Answer: Find the HCF of 3 and 6, which is 3.
Divide both numerator and denominator by 3:
\(\frac{3 \div 3}{6 \div 3} = \frac{1}{2}\)
In simple words: 3 out of 6 parts is exactly half.

Exam Tip: Recognizing standard equivalent fractions like half saves time during exams.

Question 2(e). \(\frac{15}{20}\)
Answer: Find the HCF of 15 and 20, which is 5.
Divide both numerator and denominator by 5:
\(\frac{15 \div 5}{20 \div 5} = \frac{3}{4}\)
In simple words: Divide top and bottom numbers by 5.

Exam Tip: Numbers ending in 0 or 5 can always be divided by 5.

Question 2(f). \(\frac{4}{20}\)
Answer: Find the HCF of 4 and 20, which is 4.
Divide both numerator and denominator by 4:
\(\frac{4 \div 4}{20 \div 4} = \frac{1}{5}\)
In simple words: Divide top and bottom by 4.

Question 2(g). \(\frac{4}{10}\)
Answer: Find the HCF of 4 and 10, which is 2.
Divide both numerator and denominator by 2:
\(\frac{4 \div 2}{10 \div 2} = \frac{2}{5}\)
In simple words: Divide top and bottom numbers by 2.

Exam Tip: Both numbers are even, so start by dividing by 2.

Question 2(h). \(\frac{3}{9}\)
Answer: Find the HCF of 3 and 9, which is 3.
Divide both numerator and denominator by 3:
\(\frac{3 \div 3}{9 \div 3} = \frac{1}{3}\)
In simple words: Divide top and bottom by 3.

Exam Tip: Use divisibility rules for 3 (sum of digits is a multiple of 3) to spot factors quickly.

Question 2(i). \(\frac{10}{100}\)
Answer: Cancel the common trailing zero or divide both numerator and denominator by 10:
\(\frac{10 \div 10}{100 \div 10} = \frac{1}{10}\)
In simple words: Cancel one zero from top and bottom.

Exam Tip: For fractions with powers of 10, crossing out trailing zeros is the fastest way to simplify.