CTET & State TET Exam > CTET & State TET Videos > Mathematics & Pedagogy Paper 2 for CTET & TET Exams > Shortcuts & Tricks: Ratio and Proportion
Shortcuts & Tricks: Ratio and Proportion Video Lecture | Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET
FAQs on Shortcuts & Tricks: Ratio and Proportion Video Lecture - Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET
| 1. What is the definition of ratio in mathematics? |  |
Ans.A ratio is a relationship between two numbers indicating how many times the first number contains the second. It is often expressed in the form of "a:b" or as a fraction a/b, where 'a' and 'b' are the quantities being compared.
| 2. How do you simplify a ratio? | |
Ans.To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 12:16, the GCD is 4, so dividing both terms by 4 gives you the simplified ratio of 3:4.
| 3. What is the difference between a ratio and a proportion? | |
Ans.A ratio is a comparison of two quantities, while a proportion states that two ratios are equal. For example, if 1:2 is a ratio, then 1:2 = 2:4 is a proportion, indicating that the two ratios express the same relationship.
| 4. How can ratios be used in real-life situations? | |
Ans.Ratios can be used in various real-life situations, such as cooking (to determine ingredient quantities), finance (to compare expenses), and in scale models (to represent dimensions). They help in making comparisons and understanding relationships between different quantities.
| 5. What are some common methods to solve proportion problems? | |
Ans.Common methods to solve proportion problems include cross-multiplication, where you multiply the means and the extremes, and the method of equivalent fractions, where you set up the ratios and solve for the unknown variable.
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