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Shortcuts & Tricks: Fractions and Decimals Video Lecture | Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET

FAQs on Shortcuts & Tricks: Fractions and Decimals Video Lecture - Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET

1. What are some common methods to convert fractions to decimals?

Ans. To convert a fraction to a decimal, you can divide the numerator (the top number) by the denominator (the bottom number) using long division or a calculator. For example, to convert 3/4 to a decimal, divide 3 by 4, which equals 0.75. Alternatively, many fractions can be converted to decimals by recognizing common fractions, such as 1/2 = 0.5 or 1/4 = 0.25.

2. How can I quickly add fractions with different denominators?

Ans. To add fractions with different denominators, first find a common denominator, which is usually the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with the common denominator, then add the numerators together while keeping the common denominator. For example, to add 1/3 and 1/4, the LCM of 3 and 4 is 12. Convert: 1/3 = 4/12 and 1/4 = 3/12, then add to get 4/12 + 3/12 = 7/12.

3. What is the easiest way to compare fractions?

Ans. The easiest way to compare fractions is to find a common denominator or convert them to decimals. If you have 2/5 and 3/8, you can convert both to decimals (2/5 = 0.4 and 3/8 = 0.375) or find a common denominator (which is 40), converting them to 16/40 and 15/40, respectively. Then, you can easily see which fraction is larger.

4. How do I convert a repeating decimal back into a fraction?

Ans. To convert a repeating decimal to a fraction, let the repeating decimal be x. For example, if x = 0.666..., multiply both sides by 10 to shift the decimal: 10x = 6.666.... Now subtract the first equation from the second: 10x - x = 6.666... - 0.666..., resulting in 9x = 6. Divide by 9 to find x = 6/9, which simplifies to 2/3.

5. Can you explain how to simplify fractions?

Ans. To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF). For example, to simplify 8/12, first find the GCF of 8 and 12, which is 4. Then divide both the numerator and denominator by 4: 8 ÷ 4 = 2 and 12 ÷ 4 = 3, resulting in the simplified fraction 2/3.

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Sep 06, 2025 Last updated

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Video Description: Shortcuts & Tricks: Fractions and Decimals for CTET & State TET 2025 is part of Mathematics & Pedagogy Paper 2 for CTET & TET Exams preparation. The notes and questions for Shortcuts & Tricks: Fractions and Decimals have been prepared according to the CTET & State TET exam syllabus. Information about Shortcuts & Tricks: Fractions and Decimals covers all important topics for CTET & State TET 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Shortcuts & Tricks: Fractions and Decimals.

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	Mathematics & Pedagogy Paper 2 for CTET & TET Exams 82 videos\|300 docs\|69 tests

Mathematics & Pedagogy Paper 2 for CTET & TET Exams

82 videos|300 docs|69 tests

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