Explain these questions with diagram and images or figure if possible in the video and write all step by step solution of each question in simplest way for class 8 child..read image uploaded carefully for chapter fraction and decimals.of class 8 india,delhi.explain in best way

视频信息

答案文本 复制

视频字幕 复制

Hello students! Today we're going to explore fractions and decimals. Fractions represent parts of a whole, like one-third shown here as a shaded portion. This same value can be written as a decimal: 0.333 repeating. We can also show fractions on a number line to understand their position between whole numbers. Understanding these concepts will help you solve many real-world problems! Now let's learn how to convert fractions to decimals. The process is simple: divide the numerator by the denominator using long division. Let's take three-fourths as an example. We divide 3 by 4. Since 3 is smaller than 4, we add a decimal point and zeros. 30 divided by 4 equals 7 with remainder 2. We bring down another zero to get 20. 20 divided by 4 equals 5 exactly. So three-fourths equals zero point seven five. Now let's learn how to add fractions with the same denominator. This is the easiest type of fraction addition! When denominators are the same, we simply add the numerators and keep the denominator unchanged. Let's see two-fifths plus one-fifth. We have two shaded parts out of five, plus one more shaded part out of five. Adding the numerators: two plus one equals three. The denominator stays five. So our answer is three-fifths! Now let's learn how to multiply fractions. This is actually easier than adding fractions! The rule is simple: multiply the numerators together and multiply the denominators together. Let's multiply two-thirds times one-fourth. First, we multiply the numerators: two times one equals two. Then we multiply the denominators: three times four equals twelve. So we get two-twelfths. We can simplify this by dividing both numerator and denominator by two, giving us one-sixth as our final answer. Finally, let's see how fractions and decimals appear in our daily lives! When sharing pizza, we use fractions like three-eighths. Money uses decimals - two dollars fifty cents is the same as two and one-half dollars. We measure length in decimals like one point five meters. Time can be expressed as fractions too - zero point two five hours equals fifteen minutes. Understanding these concepts helps you in cooking, shopping, sports, and many other activities. Keep practicing and you'll become a fraction expert!