1. The problem is to understand the concepts of fractions and decimals as explained in NCERT Class 7 Chapter 2.
2. Fractions represent parts of a whole and are written as $\frac{a}{b}$ where $a$ is the numerator and $b$ is the denominator, with $b \neq 0$.
3. Decimals are another way to represent fractions, especially those with denominators as powers of 10, written using a decimal point.
4. To convert a fraction to a decimal, divide the numerator by the denominator.
5. To convert a decimal to a fraction, write the decimal number over its place value and simplify.
6. Important rules include simplifying fractions by dividing numerator and denominator by their greatest common divisor, and understanding place values in decimals (tenths, hundredths, thousandths, etc.).
7. Example: Convert $\frac{3}{4}$ to decimal.
8. Divide 3 by 4: $$3 \div 4 = 0.75$$
9. Example: Convert 0.6 to fraction.
10. Write 0.6 as $\frac{6}{10}$ and simplify by dividing numerator and denominator by 2: $$\frac{\cancel{6}}{\cancel{10}} = \frac{3}{5}$$
11. Thus, fractions and decimals are two ways to represent parts of a whole and can be converted back and forth using division and place value understanding.
Fractions Decimals B3B33D
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