Jawahar Navodaya Vidyalaya Selection Test (JNVST)
Your gateway to quality education at Jawahar Navodaya Vidyalaya
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 \(\frac{1}{2}\) of a litre of milk. To convert this fraction to a decimal, divide 1 by 2, which equals 0.5. So, \(\frac{1}{2}\) litre is 0.5 litres in decimal form.
Example 2: Adding fractions. Imagine you bought \(\frac{1}{4}\) kg of apples and \(\frac{3}{4}\) kg of bananas. To find the total weight, add the fractions: \(\frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1\) kg.
Example 3: Multiplying a fraction by a whole number. If a chocolate bar costs \(\frac{1}{3}\) rupee and you buy 3 bars, multiply \(\frac{1}{3}\) by 3 to find the total cost: \(\frac{1}{3} \times 3 = 1\) rupee.
Common Mistakes to Avoid⚠️
- Mistake 1: Confusing the numerator and denominator when converting fractions to decimals. Always divide the numerator by the denominator.
- Mistake 2: Forgetting to find a common denominator when adding or subtracting fractions. Always ensure the denominators are the same before performing the operation.
- Mistake 3: Misplacing the decimal point when converting decimals to fractions. Ensure the decimal is correctly placed by counting the number of decimal places.