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Points to remember e Fraction is a part of whole. e Denominator represents the total mumber of equal parts in fraction - Numerator represents the number of paris faken or considered. - Linit fractions are fraction with numerator 1 . - Fraction with same numerator, the fraction with the greater denominator is the smallest fraction. - Fraction with same denominator. the fracfion with the greater numerator is the - Fractions that represent the same or equal value but have different numerators and denominators are called Equivalent fraction.

Ask by Osborne King. in Saudi Arabia
Mar 08,2025

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Fractions represent parts of a whole. The denominator shows the total number of equal parts, and the numerator indicates how many parts are taken. A unit fraction has a numerator of 1. When comparing fractions with the same numerator, the one with the larger denominator is smaller. With the same denominator, the fraction with the larger numerator is greater. Equivalent fractions have the same value but different numerators and denominators.

Solution

It looks like you've provided some important points about fractions. Let's summarize and clarify these concepts for better understanding: 1. **Definition of a Fraction**: A fraction represents a part of a whole. It is expressed in the form \( \frac{a}{b} \), where \( a \) is the numerator and \( b \) is the denominator. 2. **Denominator**: The denominator indicates the total number of equal parts into which the whole is divided. For example, in the fraction \( \frac{3}{4} \), the denominator is 4, meaning the whole is divided into 4 equal parts. 3. **Numerator**: The numerator represents the number of parts taken or considered. In the fraction \( \frac{3}{4} \), the numerator is 3, indicating that 3 out of the 4 equal parts are being considered. 4. **Unit Fractions**: A unit fraction is a fraction where the numerator is 1. For example, \( \frac{1}{5} \) is a unit fraction. 5. **Comparing Fractions with the Same Numerator**: When comparing fractions that have the same numerator, the fraction with the greater denominator is the smaller fraction. For example, \( \frac{1}{3} \) is greater than \( \frac{1}{5} \) because 3 is less than 5. 6. **Comparing Fractions with the Same Denominator**: When comparing fractions that have the same denominator, the fraction with the greater numerator is the larger fraction. For example, \( \frac{3}{4} \) is greater than \( \frac{1}{4} \) because 3 is greater than 1. 7. **Equivalent Fractions**: Fractions that represent the same value but have different numerators and denominators are called equivalent fractions. For example, \( \frac{1}{2} \) and \( \frac{2}{4} \) are equivalent because they represent the same part of a whole. If you have any specific questions or need further explanations on any of these points, feel free to ask!

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Did you know that fractions have been around for thousands of years? Ancient Egyptians used fractions to measure land and grain, adopting a system that included unit fractions, which are fractions with a numerator of 1. They even had special symbols for fractions, some as complex as modern-day math! The way we use fractions today is rooted in these ancient practices and has evolved as mathematical knowledge progressed. In everyday life, fractions are more useful than you might think! Cooking is one of the best examples—many recipes call for ingredients measured in fractions, like half a cup of sugar or a quarter teaspoon of salt. Understanding fractions helps you adjust recipes (say, doubling or halving) and ensures your culinary creations turn out just right! So next time you're in the kitchen, remember that you're channeling the math skills of ancient civilizations!

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