Overview
Exercise 14.1
Exercise 14.2
Review Exercise
MCQ’s
Unit 14 of Class 9th Math delves into the essential concepts of ratio and proportions, which are fundamental mathematical principles used in various real-life applications, such as scaling, comparison, and distribution.
Ratios
A ratio is a relationship between two quantities, indicating how many times one value contains or is contained within the other. Ratios are typically expressed in the form of “a” or as a fraction ab\frac{a}{b}ba. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2:3.
Ratios can be simplified just like fractions. For instance, if the ratio is 4:8, it can be simplified to 1:2. Understanding ratios is essential for comparing different quantities in mathematics and practical scenarios.
Proportions
A proportion is an equation that states that two ratios are equal. It is typically written as ab=cd\frac{a}{b} = \frac{c}{d}ba=dc. Proportions are used to solve problems that involve scaling and are fundamental in various fields, such as cooking, construction, and finance.
For example, if a recipe calls for 2 cups of flour for every 3 cups of sugar, you can set up a proportion to find out how much flour is needed if you use 9 cups of sugar. The ability to work with proportions allows students to solve problems efficiently and accurately.