Maths NCERT Textbooks 6th Class: Fractions Quiz

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Questions and Answers

What is the numerator in the fraction 5/8?

5 (correct)

What does the denominator in a fraction represent?

How many equal parts the whole is divided into (correct)

The top number in a fraction

How many parts the fraction represents

The result of adding or subtracting the numerators

In the fraction 2/5, which number represents how many parts of the whole the fraction represents?

2 (correct)

What is the common denominator of the fractions 1/3 and 2/5?

15 Signup and view all the answers

To add or subtract fractions, what do you need to have?

Same denominator Signup and view all the answers

What operation do you need to perform to multiply or divide fractions?

Multiply or divide the numerators and then divide or multiply the denominators Signup and view all the answers

What is the result of the operation (2/3) * (3/4)?

1/2 Signup and view all the answers

Which statement about equivalent fractions is correct?

Equivalent fractions have the same denominator but different numerators. Signup and view all the answers

What is the result of the operation (1/2) + (1/3)?

5/6 Signup and view all the answers

What is the result of the operation (1/2) * (1/4)?

1/8 Signup and view all the answers

In the fraction word problem: 'John ate 3/4 of a pizza. His sister ate 1/4 of the same pizza. How much pizza was left?', what is the correct way to find the answer?

Subtract 1/4 from 3/4 to find the remaining pizza. Signup and view all the answers

What is the result of the operation (2/5) - (1/10)?

3/10 Signup and view all the answers

What is the result of the operation (2/3) ÷ (1/6)?

4/9 Signup and view all the answers

Which of the following pairs of fractions are equivalent?

(3/8), (24/64) Signup and view all the answers

'John ate 5/8 of a pizza. His sister ate 1/4 of the same pizza. How much pizza was left?' What is the correct way to find the answer?

(5-1)/8 to find the remaining pizza. Signup and view all the answers

'The length of a board is divided into two pieces: one piece is `7/12` ft long and the other piece is `5/6` ft long. What is the total length of the board?' Which operation should be used to find the total length?

Addition Signup and view all the answers

Study Notes

Maths NCERT Textbooks 6th Class 8th Chapter: Fractions

In the 8th chapter of the 6th grade math textbook, students learn about fractions. Fractions are a way of representing parts of a whole. They consist of two parts: the numerator and the denominator.

Numerator: The top number in a fraction, which tells you how many parts of the whole the fraction represents.
Denominator: The bottom number in a fraction, which tells you how many equal parts the whole is divided into.

For example, in the fraction 3/4, the numerator is 3, which means the fraction represents 3 parts of the whole. The denominator is 4, which means the whole is divided into 4 equal parts.

Understanding Fractions

To understand fractions, students learn how to:

Compare fractions: To compare fractions, you need to find a common denominator. This is the lowest number that both fractions can be written under. For example, the common denominator of 2/4 and 3/6 is 12.
Add and subtract fractions: To add or subtract fractions, you need to have the same denominator. If the denominators are different, you need to find a common denominator. Once you have the same denominator, you can add or subtract the numerators.
Multiply and divide fractions: To multiply or divide fractions, you need to multiply or divide the numerators and then divide or multiply the denominators. For example, (2/3) * (3/4) = (2 * 3) / (3 * 4) = 6 / 12 = 1/2.

Fraction Operations

Fraction operations involve various techniques, including:

Equivalent fractions: These are fractions that represent the same value. For example, 1/2 and 2/4 are equivalent fractions.
Fraction addition and subtraction: These are operations that involve adding or subtracting fractions with the same denominator. For example, (1/2) + (1/2) = 1/1 = 1.
Fraction multiplication and division: These are operations that involve multiplying or dividing fractions. For example, (1/2) * (1/3) = 1/6.

Fraction Word Problems

Fraction word problems involve real-life scenarios that require the use of fractions. These problems can be in the form of addition, subtraction, multiplication, or division. For example, "John ate 3/4 of a pizza. His sister ate 1/4 of the same pizza. How much pizza was left?"

Practice Problems

To practice understanding and using fractions, students can work on the following problems:

Compare the fractions 1/2 and 3/4.
Add the fractions 1/2 + 1/4.
Multiply the fractions (1/2) * (1/3).
Solve the word problem: John ate 3/4 of a pizza. His sister ate 1/4 of the same pizza. How much pizza was left?

Conclusion

Fractions are an essential concept in mathematics that helps us understand parts of a whole. By learning about fractions, students can solve various problems and understand real-life scenarios. Practicing problems and applying these concepts can help students become more comfortable with fractions and their operations.

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Description

Test your understanding of fractions from the 8th chapter of the 6th grade math textbook. This quiz covers topics such as comparing fractions, adding, subtracting, multiplying, and dividing fractions, as well as solving word problems involving fractions.