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A one is a geometric shape that we have seen in other lessons. The circle come the left deserve to be supplied to represent one whole. We can divide this circle into equal components as shown below.

You are watching: Circle divided into 3 equal parts is called

 

 

 

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This circle has been separated into 2 same parts.

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This circle has been separated into 3 same parts.

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This circle has been split into 4 same parts.

We have the right to shade a section of a circle to surname a specific part of the whole as displayed below.

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What space Fractions? Definition: A fraction names component of a region or part of a group. The top variety of a portion is called its numerator and the bottom part is its denominator.

So a portion is the variety of shaded parts split by the variety of equal components as shown below:

number the shaded parts numerator

number of equal parts denominator

Looking in ~ the numbers above, us have:

There room two equal parts, providing a denominator of 2. One of the components is shaded, providing a numerator of 1.

There space three equal parts, providing a denominator that 3. 2 of the components are shaded, giving a molecule of 2.

There are 4 equal parts, providing a denominator that 4. One of the parts is shaded, giving a molecule of 1.

Note the the fraction bar means to divide the numerator by the denominator. Let"s look at some an ext examples that fractions. In examples 1 with 4 below, we have established the numerator and the denominator because that each shaded circle. We have additionally written each fraction as a number and using words.

Example 1:

One-half

Example 2:

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One-third two-thirds

Example 3:

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One-fourth Two-fourths Three-fourths

Example 4:

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One-fifth Two-fifths Three-fifths Four-fifths

Why is the number 3/4ths written as three-fourths? We usage a hyphen to identify a fraction from a ratio. For example, "The ratio of girl to guys in a course is 3 to 4." This ratio is written a 3 to 4, or 3:4. We do not know how numerous students space in the whole class. However, the portion 3/4 is composed as three-fourths (with a hyphen) because 3 is 3/4 the one whole. For this reason a proportion names a relationship, whereas, a fraction names a number the represents the part of a whole. Once writing a fraction, a hyphen is constantly used.

It is crucial to note that various other shapes besides a circle deserve to be split in equal parts. Because that example, we have the right to let a rectangle stand for one whole, and also then divide it into equal components as presented below.

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 two same parts

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 three same parts

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 four equal parts

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 five equal parts

Remember the a fraction is the number of shaded parts split by the variety of equal parts. In the example below, rectangles have been shaded to represent various fractions.

Example 5:

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 One-half

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 One-third

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 One-fourth

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 One-fifth

The fractions over all have actually the same numerator. Every of this fractions is dubbed a unit fraction.

Definition: unit fraction is a fraction whose numerator is one. Every unit fraction is component of one totality (the number 1). The denominator names the part. Every fraction is a multiple of a unit fraction.

In instances 6 v 8, we will identify the portion represented by the shaded portion of every shape.

Example 6:

In instance 6, over there are four equal parts in each rectangle. 3 sections have actually been shaded in every rectangle, however not the very same three. This was done deliberately to demonstrate that any 3 of the 4 equal parts have the right to be shaded to stand for the fraction three-fourths.

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B. 

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Example 7:

In example 7, every circle is shaded in different sections. However, both circles stand for the portion two-thirds. The worth of a portion is not readjusted by i beg your pardon sections space shaded.

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Example 8:

In example 8, each rectangle is shaded in different sections. However, both rectangles stand for the fraction two-fifths. Once again, the worth of a portion is not changed by which sections space shaded.

A. 

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B. 

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In the examples above, us demonstrated the the value of a portion is not changed by i m sorry sections room shaded. This is because a fraction is the number of shaded parts split by the number of equal parts.

Let"s look at some an ext examples.

Example 9:

In example 9, the circle has been shaded horizontally; whereas, in example 10, the circle was shaded vertically. The circles in both instances represent the exact same fraction, one-half. The positioning of the shaded an ar does not readjust the value of a fraction.

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Example 10:

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Example 11:

In example 11, the rectangle is positioned horizontally; conversely, in example 12, the rectangle is positioned vertically. Both rectangles represent the fraction four-fifths. The placing of a form does not change the value of the portion it represents.

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Example 12:

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Remember that a fraction is the number of shaded parts split by the number of same parts.

In instance 13, we will write each portion using words. Location your computer mouse over the red message to watch if you got it right.

Example 13
NumberWords
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answer 1
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answer 4

Summary: What space Fractions? A portion names part of a an ar or part of a group. A fraction is the variety of shaded parts separated by the number of equal parts. The molecule is the number above the portion bar, and the denominator is the number listed below the portion bar.

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Exercises

In practice 1 through 5, click once in response BOX and form in her answer; climate click ENTER. After friend click ENTER, a post will show up in the outcomes BOX to show whether your answer is correct or incorrect. To begin over, click CLEAR. Note: To create the portion two-thirds, enter 2/3 into the form.

1. What portion is stood for by the shaded rectangle below?
 
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ANSWER BOX:   

RESULTS BOX: 

2. What fraction is represented by the shaded circle below?
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ANSWER BOX:   

RESULTS BOX: