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Fractions and Decimals Tips and Tricks for Government Exams
FAQs on Fractions and Decimals Tips and Tricks for Government Exams
| 1. What is a fraction? |  |
A fraction is a numerical representation of a part of a whole. It consists of two numbers separated by a slash (/), where the number above the slash is called the numerator and the number below the slash is called the denominator. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
| 2. How do you convert a fraction into a decimal? | |
To convert a fraction into a decimal, divide the numerator by the denominator. For example, to convert 3/4 into a decimal, divide 3 by 4: 3 ÷ 4 = 0.75. So, 3/4 as a decimal is 0.75.
| 3. How do you convert a decimal into a fraction? | |
To convert a decimal into a fraction, identify the place value of the decimal part. Then, write the decimal as the numerator and the appropriate power of 10 as the denominator. Simplify the fraction if possible. For example, to convert 0.75 into a fraction, we have 75/100. Simplifying this fraction gives us 3/4.
| 4. How do you add fractions with different denominators? | |
To add fractions with different denominators, you need to find a common denominator. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, rewrite each fraction so that they have the same denominator. Finally, add the numerators and keep the denominator the same. For example, to add 1/3 and 2/5, the LCM of 3 and 5 is 15. Rewrite 1/3 as 5/15 and 2/5 as 6/15. Adding the numerators, we get 5/15 + 6/15 = 11/15.
| 5. How do you compare fractions and decimals? | |
To compare fractions and decimals, you can either convert the fraction into a decimal or convert the decimal into a fraction. If you have both fractions or both decimals, you can compare them directly. If you have a fraction and a decimal, it is usually easier to convert both to decimals. Then, compare the decimals using the greater than (>), less than (<), or equal to (=) symbols.
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