![]() ![]() Fractions are used in real life in many different ways, but they are most commonly used in the cooking, construction and science industries.Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Fractions appear in every-day media to display information to consumers. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.The correct answer always lies on a tick mark, so if the picture has a point that is not on a tick mark, that is not the correct answer.This exercise is easy to get accuracy badges and speed badges because the fractions are close to one and 1 can be used as a benchmark for comparison. Select the correct point: This problem has a number line drawn and asks the user to identify which of four labeled points is a specific given fraction.Well use cool tools like pictures, number lines, and benchmark fractions. Were also going to learn how to figure out whether a fraction is bigger or smaller than another fraction. There is one type of problem in this exercise: Did you know fractions can wear disguises Thats right Different looking fractions can actually be the same. This exercise helps users to visualize fractions on the number line using tick marks and comparison to one. ![]() The Unit fractions on the number line exercise appears under the 3rd grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. So you cannot say that.3rd grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission Over here is not equal in size to this part right But remember, it needsĬlear looking at this that this part right Say, well, I've got 5 parts, and then I've shaded in 1. This right over here isġ/5 of the entire pie. Of pie-looking thing, this circle-looking thing, we Right over here represents 1/3 of the whole. Red part represent? And so I encourage youįor this rectangle, we have 3 equal parts, and Triangle as a whole, what fraction does this Red part represent? If you view this yellow Purple thing, the whole, what fraction does thisīlue part the whole, what fraction does this Or a piece of paper write down if you consider this Right now is pause the video, and either in your head Square right over here that I'm shading in red This one to show you it does not have to be And then if I were toĭivide each of those into 2 equal parts, I Of those into 2 equal parts to get me 4 equal parts. This whole, in this case, the whole is this You could view this asġ of the 4 equal parts, or you could view thisĪs a whole divided by 4 would get you exactly this much. Have shaded in red? Well, it is 1 out of theĤ equal parts, right? I've shaded in 1 out ofġ/4 of the whole. So with one cut like that, I'veĭivided it into 2 equal parts, and then with another Now, what I'm going to do isĭivide this into 4 equal parts. But first, we'll thinkĪbout the most fundamental. Talk about in this video is the idea of a fraction. So we can see that the point in question, its at a higher value than four and its less than five. So pause this video and have a go at that. So how big is the smaller triangle? Using the same ways of calculations we get that the area of the small triangle is approximetly 0,05 cm squared. Instructor Were told express the point on the number line as both a fraction and a decimal. So we know the whole triangle is approximetly 0,435 cm squared large. We can find the height using the pythagorean theorem, which tells us that the heigth will be approximetly 0,87 cm or to be exact the half of the square root of 3. Don't worry if you don't understand right now. So how big is the whole triangle? The formula for area of any triangle is half of base times it's heigth also known as bh/2. So what is the area of that small triangle compared to the whole shape? Let's do some calculations: Let's say each side of the whole triangle is excatly 1 cm (you can also use inches or no units as well if that helps). How many triangles would you need? The answer is excatly 8 - meaning that the small triangle is just a 1/8th. Let's leave calculations aside - when we look at the small triangle and the whole triangle, we have to ask ourselves: "How many times would that small triangle fit into the whole?" Try imagining having infinite amount of these small triangle to play with and your goal is to build a copy of the whole triangle. Therefore we might think that the area of each part is 1/4th of the whole triangle as well, but unfortunately we're looking for equal area not equal parts of a side. Looking at the video we can see that one of the sides is devided into four 1/4ths. Equilateral means the triangle has all the sides of the same length and all the angles of the same size. I'm gonna assume that that triangle is equilateral. What a great question! Let's go think about it using geometry. ![]()
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