TenMarks teaches you how to write parts of a group as fractions.
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Learn about Fractions as Parts of a Group In this lesson, let’s learn about parts of a group. We will learn how to combine different parts to form fractions. Well, the problem says that a student ballet troop plans to perform from the ballet’s swan lake. Off the eight students in the troop, three have danced the ballet before. Out of the total number of students which is eight, three have had experienced dancing the ballet. What fraction of the troop has had this dance experienced? And what fraction is new? So here’s what we do. First just to recap, fraction is written as A, fraction bar B, A over B where A is called the numerator and B is called the denominator. The denominator is the total number of equal parts and the numerator is the number of parts being considered. So in this case, what do we have? We have eight parts. I'm going to draw eight circles. We have eight parts. So we have eight students. This is student one, two, three, four, five, six, seven, and eight. Off this, three have danced the ballet before, so the ones that are marked in yellow have danced the ballet before. So what fraction has had the dance experience, so with dance experience. What fraction? We have to write it as A over B. what is the numerator? The numerator is number of parts being considered. How many parts have had the dance experienced was three. And how many total number of parts? Well total number is eight. So, people with dance experience, the fraction are 3/8 or three over eight. Now let’s look at how many people are new to the ballet. How many with no dance experience? That’s one, two, three, four, five, so new to the process or new to the dance troop. How many people? Well total number of parts is five that are being considered and the total number of parts is eight. So five parts out of eight or five people out of eight are new, that’s the fraction of the people that are new.