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Fractions and Decimals: Converting between fractions and decimals, operations with fractions
🚀 Fractions and decimals are two ways to represent numbers that are not whole. Understanding how to convert between them and perform operations is essential for solving many real-world problems. Let's explore these concepts with examples from daily life in India.
Examples💡
Example 1: Converting a fraction to a decimal. Suppose you have \(\frac{1}{4}\) of a litre of milk. To convert this fraction to a decimal, divide 1 by 4, which equals 0.25 litres.
Example 2: Adding fractions. Imagine you have \(\frac{1}{2}\) kg of rice and \(\frac{1}{4}\) kg of rice. To find the total, convert \(\frac{1}{2}\) to \(\frac{2}{4}\) and add \(\frac{2}{4} + \frac{1}{4} = \frac{3}{4}\) kg.
Example 3: Multiplying a fraction by a whole number. If a chocolate bar costs \(\frac{3}{5}\) of a rupee, and you buy 5 bars, multiply \(\frac{3}{5} \times 5 = 3\) rupees.
Common Mistakes to Avoid⚠️
- Mistake: Confusing the numerator and denominator when converting fractions to decimals. Correction: Always divide the numerator by the denominator.
- Mistake: Forgetting to find a common denominator when adding fractions. Correction: Always convert fractions to have the same denominator before adding.
- Mistake: Misplacing the decimal point when converting decimals to fractions. Correction: Count the decimal places accurately to form the correct fraction.