Class 6 Exam > Class 6 Notes > Mathematics Class 6 ICSE > Worksheet: Fractions
Worksheet: Fractions | Mathematics Class 6 ICSE PDF Download
A. Multiple-Choice Questions
Q1. Which of these is an improper fraction?
(A) 
(B) 
(C) 
(D) 
Q2. Which fraction is equivalent to
(A) 
(B) 
(C) 
(D) 
Q3. Convert
to an improper fraction.
(A) 
(B) 
(C) 
(D) 
Q4. Which fraction is greatest?
(A) 
(B) 
(C) 
(D) 
Q5. Which pair shows like fractions?
(A) 
(B) 
(C) 
(D)
B. Short Question Answers
Q6. Reduce 42/56 to lowest terms.
Q7. Convert the mixed fraction 4 2/7 to an improper fraction.
Q8. Convert the improper fraction 19/5 to a mixed fraction.
Q9. Find 3/4 of 28
Q10. Add 1 1/2 + 2 2/3.
C. Long Question Answers
Q11. On Monday, Meera read 1/4 of a book. On Tuesday, she read 2/3 of the remaining pages. If 72 pages are still left, find the total number of pages in the book.
Q12. Evaluate: (4/5 of 30) ÷ (3/2) + (7/8 − 1/4)
Q13. A ribbon is 3 1/2 m long. Priya uses 2/5 of it to make bows. From the remaining, she gives 3/4 m to her friend. How much ribbon is left?
You can access the solutions of this worksheet here
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FAQs on Worksheet: Fractions - Mathematics Class 6 ICSE
| 1. What are fractions and how are they represented? |  |
Ans. Fractions are numerical values that represent a part of a whole. They are expressed in the form of a numerator and a denominator, such as a/b, where 'a' is the numerator (the number of parts we have) and 'b' is the denominator (the total number of equal parts). For example, in the fraction ¾, 3 is the numerator and 4 is the denominator, indicating that we have 3 out of 4 equal parts of a whole.
| 2. How do you add and subtract fractions with different denominators? | |
Ans. To add or subtract fractions with different denominators, you first need to find a common denominator. This can be done by identifying the least common multiple (LCM) of the denominators. Once you have the common denominator, convert each fraction to an equivalent fraction with this common denominator. Then, you can add or subtract the numerators while keeping the denominator the same. For example, to add ½ and ⅓, the common denominator is 6. Thus, ½ becomes ³/₆ and ⅓ becomes ²/₆. Then, you can add them: ³/₆ + ²/₆ = ⁵/₆.
| 3. What are proper, improper, and mixed fractions? | |
Ans. Proper fractions are fractions where the numerator is less than the denominator (e.g., ⅖). Improper fractions have a numerator that is greater than or equal to the denominator (e.g., ⁵/₄). Mixed fractions combine a whole number with a proper fraction (e.g., 1 ⅓ represents one whole and one-third). Understanding these types helps in performing operations with fractions and converting between them.
| 4. How do you convert a mixed fraction into an improper fraction? | |
Ans. To convert a mixed fraction into an improper fraction, you multiply the whole number by the denominator and then add the numerator. The result becomes the new numerator, while the denominator remains the same. For example, for the mixed fraction 2 ⅗, you multiply 2 (the whole number) by 5 (the denominator), which gives 10. Then, add the numerator 3 to get 13. Therefore, 2 ⅗ can be expressed as the improper fraction ¹³/₅.
| 5. What are equivalent fractions, and how can you find them? | |
Ans. Equivalent fractions are different fractions that represent the same value or proportion of a whole. To find equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. For example, the fraction ⅗ is equivalent to ⁶/₁₀ because if you multiply both the numerator (3) and the denominator (5) by 2, you get ⁶/₁₀.
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