Class 3 Exam > Class 3 Notes > Mathematics for Class 3 > Word Problem: Fractions - 2
Word Problem: Fractions - 2 | Mathematics for Class 3 PDF Download
Word Problems on Fractions
Q 1. Look at the fraction 5/8. Identify the numerator and the denominator.
Answer: Numerator = 5, Denominator = 8
Q 2. Which of the following is a unit fraction?
Answer: (a) 1/2
Q 3. If Raj ate 5 out of the 9 apples he had, what fraction of apples did he eat?
Answer: 5 out of 9 = 5/9
Q 4. If Raj ate 5 out of the 9 apples he had, what fraction of apples does he have left?
Answer: Number of apples left = 9-5 = 4
Fraction of apples left = 4/9
Q 5. How many equal parts is the number line divided into to represent 3/5?
Answer: 5 equal parts
Q 6. Represent 1/5 and 3/5 on the number line.
Answer:
Q 7. What is the simplest form of 1/2 of 12
Answer: 1/2 of 12 = 1/2 * 12 = 1 * 6 = 6
Q 8. A pizza is divided into 8 equal slices. You eat 3 slices. What fraction of the pizza have you eaten?
Answer: 3/8
Q 9. How do you write the fraction 5/8 of 64
Answer: 5/8 of 64 = 5/8 * 64 = 5 * 8 = 40
Q 10. There are 15 marbles in a bag. Out of them, 5 are red. What fraction of the marbles are red?
Answer: 5/15 (which simplifies to 1/3)
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FAQs on Word Problem: Fractions - 2 - Mathematics for Class 3
| 1. What are fractions and how are they used in real-life situations? |  |
Ans. Fractions represent a part of a whole and are used in various real-life situations such as cooking (measuring ingredients), construction (measuring materials), and finance (calculating discounts or interest rates). For example, if a recipe requires 3/4 cup of sugar, it indicates that you need three parts out of four to make the recipe correctly.
| 2. How do you add and subtract fractions with different denominators? | |
Ans. To add or subtract fractions with different denominators, first find a common denominator, which is typically the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with the common denominator, then add or subtract the numerators while keeping the common denominator. Finally, simplify the result if possible.
| 3. What is the difference between proper, improper, and mixed fractions? | |
Ans. Proper fractions have numerators smaller than their denominators (e.g., 1/2), improper fractions have numerators larger than or equal to their denominators (e.g., 5/4), and mixed fractions consist of a whole number and a proper fraction (e.g., 1 1/4). Each type of fraction serves different purposes in mathematical expressions.
| 4. How can I convert a fraction into a decimal? | |
Ans. To convert a fraction into a decimal, divide the numerator by the denominator using long division or a calculator. For example, to convert 3/4 into a decimal, you would calculate 3 ÷ 4, which equals 0.75.
| 5. What are some common mistakes to avoid when working with fractions? | |
Ans. Common mistakes include forgetting to find a common denominator when adding or subtracting fractions, miscalculating when multiplying or dividing fractions, and neglecting to simplify the final answer. It's important to double-check calculations and ensure each step is followed accurately to avoid errors.
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