Fractions are a way of representing parts of a whole. They express a number in terms of a numerator and a denominator, where:
- Numerator: The top number, represents how many parts we are considering.
- Denominator: The bottom number, represents the total number of equal parts that make up the whole.
Read More: Fun Facts about Fractions
Solved Questions on Fractions (Easy)
Question 1: Identify the type of fraction.
a) 1/4
b) 3/2
c)
Solution:
a) 1/4: This is a proper fraction because the numerator (1) is smaller than the denominator (4).
b) 3/2: This is an improper fraction because the numerator (3) is greater than the denominator (2).
c)
3\frac{2}{3} : This is a mixed number because it is a whole number (3) combined with a fraction 2/3.
Question 2: Which number is the greater 1/2 or 1/3?
Solution:
1/2 > 1/3
Explanation: 1/2 = 0.5 and 1/3 is approximately 0.3 which is smaller than 0.5 so 1/2 is greater than 1/3.
Question 3: Which number is the smaller 2/3 or 2/7?
Solution:
2/7 < 2/3
Explanation: The denominator 7 is larger than 3, so 2/7 represents a smaller part of a whole than 2/3.
Question 4: What type of fraction is this – 1/2, 1/5, 1/7, 1/10, 1/3?
Solution:
This is a Unit fraction because all the fractions have 1 as a numerator.
Question 5: Is 2/5 a proper fraction or an improper fraction?
Solution:
2/5 is a proper fraction because the numerator (2) is smaller than the denominator (5).
Question 6: Convert 9/4 into a mixed fraction.
Solution:
\frac{9}{4} = 2\frac{1}{4} Explanation: Divide 9 by 4. The quotient is 2, and the remainder is 1. So, 9 ÷ 4 = 2 with remainder 1, which gives the mixed fraction
2\frac{1}{4}
Question 7: Convert the
Solution:
13\frac{4}{5} = \frac{69}{5} Explanation: Multiply the whole number 13 by the denominator 5: 13 × 5 = 65 , then add the numerator 4: 65 + 4 = 69 + 4 = 69. The improper fraction is 69/5.
Question 8: Simplify 18/24.
Solution:
18/24 = 3/4
Question 9: Convert 9/5 to decimal.
Solution:
9/5 = 1.8
Question 10: Convert 0.125 to a fraction.
Solution:
0.125 = 1/8
Explanation: 0.125 is the same as 125/1000, and simplifying 125/1000 by dividing both numerator and denominator by 125 gives 1/8.
Question 11: Write the fractions in the ascending order: 2/9, 3/9, 1/4, 3/8, 5/4.
Solution:
Ascending order: 1/4, 2/9, 3/9, 3/8, 5/4
Question 12: Write the fractions in the descending order: 2/4, 34, 5/6, 3/5, 6/7.
Solution:
Descending order: 6/7, 5/6, 3/4, 2/4, 3/5
Practice Questions on Fractions (Easy)
Question 1: Which number is greater: 3/5 or 2/3?
Question 2: Which number is smaller: 4/7 or 5/8?
Question 3: Is 6/11 a proper fraction or an improper fraction?
Question 4: Convert the following mixed number into an improper fraction:
Question 5: Convert the following improper fraction into a mixed number: 17/6
Question 6: Simplify the following fraction: 30/45
Question 7: Which is greater: 7/8 or 9/10?
Question 8: Convert the decimal 0.6 into a fraction.
Question 9: Write the following fractions in ascending order: 2/5, 3/4, 1/2, 5/8
Question 10: What is the value of 4/0?
Answer Key:
- 2/3
- 4/7
- Proper fraction
- 23/4
- 25/62
- 2/3
- 9/10
- 3/5
- 1/2, 2/5, 5/8, 3/4
- Undefined