20 Questions
What is meant by a fraction being in its lowest form?
A fraction is said to be in its lowest form if the only common factor of the numerator and the denominator is 1.
What is the HCF of 15 and 40?
5
How do you simplify a fraction to its lowest form?
By dividing both numerator and denominator by their highest common factor (HCF).
What is the lowest form of the fraction 15/40?
3/8
Why is 4 a lowest form of the fractions 8/16, 2/4, and 1/2?
Because the only common factor of the numerator and denominator is 1.
How do you identify if a fraction is in its lowest form?
By checking if the only common factor of the numerator and denominator is 1.
What is the LCM of 4 and 5?
20
How do you convert a fraction into a like fraction?
By finding the LCM of the denominators and adjusting the numerators accordingly
What is the result of subtracting 13/20 from 21/20?
53/20
How do you convert a mixed fraction into an improper fraction?
By multiplying the denominator by the whole number and then adding the numerator
What is the HCF of two numbers?
The largest common factor of two numbers
Why is it necessary to find the LCM before adding or subtracting fractions?
Because the LCM is the smallest number that is a common multiple of the denominators
What is the first step in adding fractions with different denominators?
Find the LCM of the denominators
What is the LCM of 2 and 3?
6
How do you convert a fraction to have the LCM as the denominator?
Multiply the numerator and denominator by the necessary number to make the denominator equal to the LCM
What is the purpose of finding the LCM in adding fractions?
To make the denominators of the fractions the same
What is the LCM of 5 and 20?
20
How do you add fractions with the same denominator?
Add the numerators and keep the denominator the same
What is the importance of Bhaskaracharya's book 'Lilavati' in the context of fractions?
It contains puzzles and problems on fractions
What is the role of LCM in making fractions equivalent?
It helps to convert fractions to have the same denominator
Study Notes
Equivalent Fractions
- Equivalent fractions are fractions that have the same value, but not necessarily the same numerator and denominator.
- Examples of equivalent fractions are 2/2, 4/4, 8/8, and 16/16.
Lowest Form of a Fraction
- A fraction is said to be in its lowest form if the only common factor of the numerator and the denominator is 1.
- Example: 15/40 is not in its lowest form, but 3/8 is.
Finding the Lowest Form of a Fraction
- Find the HCF (Highest Common Factor) of the numerator and the denominator.
- Divide both the numerator and the denominator by the HCF.
- Example: 15/40 → HCF is 5, so divide both by 5 to get 3/8.
Adding Fractions
- Find the LCM (Least Common Multiple) of the denominators.
- Convert each fraction to have the LCM as the denominator.
- Add the fractions.
- Example: 1/2 + 1/3 = ?
Subtracting Fractions
- Convert the fractions into like fractions.
- Subtract the fractions.
- Convert the result into a mixed fraction if possible.
- Example: 11/20 - 13/20 = ?
Famous Mathematician
- Bhaskaracharya was a famous Indian mathematician who lived from 1114-1185.
- He wrote a book called 'Lilavati' that included puzzles about fractions.
Test your understanding of equivalent fractions, lowest form, and common factors with this quiz.
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