Fractions and Decimals
Students explore the concept of fractions and their types — proper, improper, and mixed fractions. They learn equivalent fractions, simplification, and basic operations. The chapter also covers decimals, place value in decimals, conversions, and real-life applications involving money and measurements.
Key Topics & Instructions
▼- Identify and classify proper, improper, and mixed fractions.
- Find equivalent and simplified fractions.
- Perform addition and subtraction of fractions and decimals.
- Convert between fractions and decimals using place value understanding.
- Use the first experiment to simplify or convert fractions.
- Use the second experiment to add or subtract decimal numbers.
- Observe the real-time results and explanations.
Experiment 1: Fraction Simplifier & Converter
Enter a fraction to simplify or convert it to a decimal.
Experiment 2: Decimal Addition & Subtraction
Enter two decimal numbers to perform addition or subtraction.
Fractions represent parts of a whole. A proper fraction has a smaller numerator, while an improper fraction has a larger numerator. Mixed fractions combine a whole number and a fraction. Equivalent fractions have the same value but different forms.
Understanding Decimals
Each digit to the right of the decimal point represents tenths, hundredths, and thousandths. For example, 0.56 = 5/10 + 6/100.
Divide the numerator by the denominator to convert a fraction to a decimal. Multiply by powers of 10 to convert decimals back to fractions.
Decimals are used in money, measurements, and daily life. For instance, ₹2.75 represents 2 rupees and 75 paise.
