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Fractions are a way of representing parts of a whole. They express a number in terms of a numerator and a denominator, where:
Read More: Fun Facts about Fractions
Question 1: Identify the type of fraction.
a) 1/4
b) 3/2
c)
Solution:
a) 1/4โ: 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) โ: 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:
1โ/2 > 1/3โ
Explanation: 1/2 โ= 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 2/7โ represents a smaller part of a whole than 2/3.
Question 4: What type of fraction is this โ 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 amixed fraction.
Solution:
Explanation: Divide 9 by 4. The quotient is 2, and the remainder is 1. So, 9 รท 4 = 2 with remainder 1, which gives the mixed fraction
Question 7: Convert the to an improper fraction.
Solution:
Explanation: Multiply the whole number 13 by the denominator 5: 13 ร 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:
9/5โ = 1.8
Question 10: Convert 0.125 to a fraction.
Solution:
0.125 = 1/8
Explanation: 0.125 is the same as 125/1000โ, and simplifying 125/1000โ by dividing both numerator and denominator by 125 gives 1/8.โ
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
Question 1: Which number is greater: 3/5โ or 2/3โ?
Question 2: Which number is smaller: 4/7โ or 5/8โ?
Question 3: Is 6/11โ 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: 17/6โ
Question 6: Simplify the following fraction: 30/45
Question 7: Which is greater: 7/8โ 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?