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10 Questions 10 Marks 10 Mins 1) 126 - 3 + 5 ÷ 15 = 123.33 ≠ 225 2) 126 + 3 × 5 – 15 = 126 = 126 3) 126 ÷ 3 × 5 + 15 = 225 ≠ 126 4) 126 × 3 + 5 – 15 = 368 ≠ 225 Thus, the correct answer is ‘+, ×, -’. Last updated on Sep 22, 2022 The Punjab State Power Corporation Limited (PSPCL) has released the Document Verification against CRA 298/21. The Document Verification process is scheduled to be held from 23rd June to 28th June 2022. The PSPCL is going to release the official notification for the PSPSC JE 2022 too. The selection process includes three stages namely Prelims, Mains, and Document Verification. With a PSPCL JE Salary range between Rs. 10900 to Rs. 34800, it is a golden opportunity for job seekers. Ace your Logical Reasoning and Puzzle preparations for Logical Puzzle with us and master Equation Insert for your exams. Learn today! Created by Hanna Pamuła, PhD candidate Reviewed by Dominik Czernia, PhD candidate and Jack Bowater Last updated: Apr 06, 2022 Welcome to our fraction calculator, a really versatile tool. It can: ➕ add, ➖subtract, ✖️multiply, and ➗divide As usual, we've prepared some introductory reading, which will let you dig into the world of fractions🌎. Below you'll read about the fraction definition, the types of fractions (proper, improper, mixed), and all those basic operations on simple and mixed fractions. Are you ready? What is a fraction? Fraction definitionA fraction represents the number of equal parts of a whole thing.
In the example above, it's one part out of six slices, which the pie was cut into in total. We read it as one-sixth of the whole pie. But, of course, the cake can be cut differently! So, if you cut the pie in 2, then one slice is one-half of the whole. If you cut the pie in 3 parts, then one slice is one-third of the whole pie, etc. Fractions are used all around us:
What is a proper, improper, and mixed fraction?So, now that you know the fraction definition, let's have a look at the different types of fractions. In general, we have three types of fractions: proper, improper and mixed fractions:
In proper fractions, the top number (numerator) is smaller than the bottom number (denominator). It means that it will always be less than one whole thing, e.g.:
The general rule, which works for both positive and negative numbers, is that the absolute value of the fraction is less than one:
So what is an improper fraction? It's a fraction where the numerator is larger than (or equal to) the denominator. Improper fractions are sometimes called top-heavy fractions. Examples of improper fractions are:
Mixed fractions, also known as mixed
numerals or mixed numbers, are another way of expressing an improper fraction.
💡 The most important things to remember after reading this section: How do you add fractions? ➕ Adding fractions rulesWhen it comes to adding fractions, there are three scenarios:
This is the most straightforward case; all you need to do is to add numerators (top numbers) together and leave the denominator as is, e.g:
This is a bit more of a complicated case - to add these fractions, you need to find the common denominator.
Analogically, you can find out that
Of course, our fraction calculator deals with all of these scenarios. 😎 If you're still wondering how adding fractions works, maybe this visual will help? For an even more thorough explanation, check out our adding fractions calculator. How to subtract fractions ➖If you're wondering how to subtract fractions, and you've read through the previous section How do you add fractions, we have some good news for you: it's pretty much the same!
You can imagine subtraction as taking or eating part of the cake: That wasn't so hard, was it? How do you multiply fractions ✖️Multiplying fractions is - fortunately - an effortless operation. It's numerator times numerator over denominator times denominator. Sometimes you also need to simplify the fraction. And that's it! Take a look at this example:
which you can then simplify to Whenever you deal with mixed fractions, don't forget than you must always write them as an improper number before multiplying:
And when multiplying a fraction by a whole number, remember that you can write the whole number as itself divided by 1:
If you don't know how to deal with fraction reduction, scroll down to the section How to simplify fractions. Now that you know how do you multiply fractions, let's proceed to the next topic, fraction division. How to divide fractions ➗Racking your brain over how to divide fractions? Have no worries! The division of fractions is quite similar to fraction multiplication. The only difference is that you must multiply your first number by the reciprocal of the second fraction. It may sound a bit weird, but it's really simple! Have a look at this example:
So, all you need to do is turn the second fraction upside down (which is its reciprocal) and multiply the fractions. Sometimes, you may also need to do some fraction reduction. And that's all, tadaaa!🎉 How to simplify fractions?We always like to make our lives simpler - even in maths. That's why simplifying fractions is such an important thing. It means that we write the fraction in its simplest possible form. We also call simplifying fractions reducing fractions. But what does this mean, exactly? Have a look at these examples:
To simplify a fraction, you can use two methods:
Read more about reducing fractions in our dedicated simplify fractions calculator. Also, make sure to have a look at our amazing equivalent fractions calculator, which can find many equivalents to your fraction. How to convert a decimal into fraction?If you want to find out how to convert a decimal into a fraction, you're in the right place. Here's a step-by-step guide:
And that's it, the fraction in its simplest form. ❤️ But, if you have a repeating decimal... that's a different story. Have a good read of the section How to convert a repeating decimal to a fraction?, or simply use our fraction calculator. How to turn a fraction into a decimal?Well, the easiest way to turn a fraction into a decimal is... to use a calculator. Be it this fraction calculator, a standard pocket calculator🖩, or our dedicated tool - the fraction to decimal converter. Sometimes the fraction is relatively easy to change into decimal without any tools - like for 1/2, 3/4 (or even 1/8). We believe that you can figure out how to expand the above fractions to have 10, 100, 1000, and so on in the denominator, respectively:
But what if you don't have the Internet or a calculator with you, but only pen and paper📝? And your fraction doesn't look so easy to expand as the ones above? Then, you'll probably need to do the long division to the decimal places by hand. Good luck! 🤞 Hanna Pamuła, PhD candidate Adding fractionsComparing fractionsDecimal to fraction… 14 more How do I calculate 2/3 of a number?Change two-thirds to a decimal and then multiply the decimal and your number. To convert 2/3 to decimal, divide the numerator by the denominator: 2 / 3 = 0.66666 ... 7, which you can round to 0.67. For example, to find 2/3 of 21: 0.67 * 21 = 14.07.
What is 2/3 as a fraction?An equivalent fraction of two-thirds (2/3) is sixteen twenty-fourths (16/24).
What is the 2/3rd of 100?Thus, two-thirds of 100 is approximately 66.7.
What is 2/3 of 24 as a fraction?Answer: 2/3 of 24 is 16.
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