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Class-7Mathematics

Mathematics | Fractions and Decimals

This video series explains the concepts of fractions and decimals in great detail

Introduction to CBSE Class 7 Mathematics Chapter "Fractions and Decimals"

In the “Fractions and Decimals” chapter of CBSE Class 7 Mathematics, students learn about the detailed concepts and operations involving fractions and decimals. The chapter starts with a recap of what they have previously learned and then delves deeper into the comparison, addition, subtraction, multiplication, and division of fractions. It also explores finding the decimal equivalents of fractions, rounding off decimals, and using decimals in various operations.

Students are encouraged to explore the practical applications of fractions and decimals, such as in measurements, financial transactions, and scientific data. The concepts of like and unlike fractions, mixed numbers, and the conversion between improper fractions and mixed numbers are elaborately covered. The chapter aims to strengthen the student’s foundational knowledge in dealing with parts of whole numbers and understanding their application in more complex mathematical concepts.

Assignments for CBSE Class 7 Mathematics Chapter “Fractions and Decimals”

  1. Daily Life Fractions: Collect data on fractions from real-life sources like recipes or bills and perform addition and subtraction with them.
  2. Decimal Diary: Keep a diary for a week where you record times, weights, and money transactions in decimals.
  3. Baking with Fractions: Bake a simple recipe and adjust the ingredients for a different number of servings using fraction multiplication and division.
  4. Conversion Practice: Convert between fractions, decimals, and percentages for a set of numbers.
  5. Fraction Art: Create an art piece using fractional parts to represent different proportions of the whole.

Conclusion The chapter “Fractions and Decimals” is an essential building block in the CBSE Class 7 Mathematics curriculum. It not only enhances computational skills but also hones the student’s analytical thinking by applying these concepts to solve real-world problems. Mastery of fractions and decimals paves the way for understanding more complex mathematical ideas and fosters confidence in mathematical reasoning.

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Questions and Answers for CBSE Class 7 Mathematics Chapter "Fractions and Decimals"

  1. Q1: How do you compare two fractions to find out which is greater?
    ANS: You can compare fractions by finding a common denominator and then comparing the numerators, or by converting them to decimals.
  2. Q2: What is the process of adding and subtracting fractions with unlike denominators?
    ANS: To add or subtract fractions with unlike denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, and then perform the operation.
  3. Q3: How do you multiply a fraction by a whole number?
    ANS: To multiply a fraction by a whole number, multiply the numerator by the whole number while keeping the denominator the same.
  4. Q4: What is the easiest method to divide decimals?
    ANS: The easiest method to divide decimals is to make the divisor a whole number by multiplying both the divisor and dividend by 10, 100, etc., and then divide as with whole numbers.
  5. Q5: Can you explain how to convert a mixed number into an improper fraction?
    ANS: To convert a mixed number into an improper fraction, multiply the whole number part by the denominator, add the numerator, and place the result over the original denominator.
  6. Q6: Why are decimals important to learn?
    ANS: Decimals are important because they are used in various aspects of daily life, such as in money calculations, measurements, and scientific data.
  7. Q7: How do you round off decimals to a specific place value?
    ANS: To round off decimals, look at the digit right after the place value to which you’re rounding; if it’s 5 or more, round up, if less, round down.
  8. Q8: What is a real-life situation where you would need to subtract decimals?
    ANS: A real-life situation for subtracting decimals could be when you’re calculating change due in a financial transaction.
  9. Q9: How do decimals and fractions relate to percentages?
    ANS: Decimals and fractions can both be converted to percentages by multiplying by 100, which represents the concept of ‘per hundred.’
  10. Q10: What strategies can help with understanding fractions and decimals better?
    ANS: Visual aids like number lines or pie charts, practice with real-life examples, and step-by-step problem-solving can help with understanding fractions and decimals better.

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