Equivalent Fractions Quiz
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Questions and Answers

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?

<p>3/8</p> Signup and view all the answers

Why is 4 a lowest form of the fractions 8/16, 2/4, and 1/2?

<p>Because the only common factor of the numerator and denominator is 1.</p> Signup and view all the answers

How do you identify if a fraction is in its lowest form?

<p>By checking if the only common factor of the numerator and denominator is 1.</p> Signup and view all the answers

What is the LCM of 4 and 5?

<p>20</p> Signup and view all the answers

How do you convert a fraction into a like fraction?

<p>By finding the LCM of the denominators and adjusting the numerators accordingly</p> Signup and view all the answers

What is the result of subtracting 13/20 from 21/20?

<p>53/20</p> Signup and view all the answers

How do you convert a mixed fraction into an improper fraction?

<p>By multiplying the denominator by the whole number and then adding the numerator</p> Signup and view all the answers

What is the HCF of two numbers?

<p>The largest common factor of two numbers</p> Signup and view all the answers

Why is it necessary to find the LCM before adding or subtracting fractions?

<p>Because the LCM is the smallest number that is a common multiple of the denominators</p> Signup and view all the answers

What is the first step in adding fractions with different denominators?

<p>Find the LCM of the denominators</p> Signup and view all the answers

What is the LCM of 2 and 3?

<p>6</p> Signup and view all the answers

How do you convert a fraction to have the LCM as the denominator?

<p>Multiply the numerator and denominator by the necessary number to make the denominator equal to the LCM</p> Signup and view all the answers

What is the purpose of finding the LCM in adding fractions?

<p>To make the denominators of the fractions the same</p> Signup and view all the answers

What is the LCM of 5 and 20?

<p>20</p> Signup and view all the answers

How do you add fractions with the same denominator?

<p>Add the numerators and keep the denominator the same</p> Signup and view all the answers

What is the importance of Bhaskaracharya's book 'Lilavati' in the context of fractions?

<p>It contains puzzles and problems on fractions</p> Signup and view all the answers

What is the role of LCM in making fractions equivalent?

<p>It helps to convert fractions to have the same denominator</p> Signup and view all the answers

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.

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Test your understanding of equivalent fractions, lowest form, and common factors with this quiz.

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