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A circle is a geometric form that we have actually seen in various other lessons. The circle come the left deserve to be offered to stand for one whole. We can divide this circle right into equal components as presented below.

You are watching: 2/3 of a circle is what percent of a circle

 

 

 

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This circle has actually been divided into 2 equal parts.

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This circle has been separated into 3 equal parts.

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This circle has been separated into 4 same parts.

We have the right to shade a part of a one to surname a specific part of the whole as presented below.

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

So a fraction is the number of shaded parts separated by the number of equal components as shown below:

number of shaded parts numerator

number of same parts denominator

Looking at the number above, us have:

There are two same parts, offering a denominator the 2. One of the components is shaded, offering a numerator of 1.

There are three equal parts, giving 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. Among the components is shaded, giving a numerator of 1.

Note that the fraction bar means to divide the numerator by the denominator. Let"s look at some much more examples the fractions. In instances 1 with 4 below, us have identified the numerator and also the denominator because that each shaded circle. Us have also written each portion as a number and also 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 composed as three-fourths? We use a hyphen to identify a fraction from a ratio. For example, "The ratio of girl to boys in a course is 3 to 4." This proportion is written a 3 come 4, or 3:4. We carry out not know how numerous students space in the entirety class. However, the portion 3/4 is composed as three-fourths (with a hyphen) due to the fact that 3 is 3/4 the one whole. Hence a proportion names a relationship, whereas, a fraction names a number the represents the part of a whole. When writing a fraction, a hyphen is constantly used.

It is crucial to note that various other shapes as well as a circle deserve to be split in same parts. Because that example, we can let a rectangle represent one whole, and then divide it right into equal components as shown below.

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 two equal parts

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 three equal parts

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 four same parts

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 five same parts

Remember the a fraction is the number of shaded parts separated by the number of equal parts. In the instance below, rectangles have been shaded come represent different 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 the same numerator. Each of these fractions is referred to as a unit fraction.

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

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

Example 6:

In example 6, there are four equal components in every rectangle. 3 sections have actually been shaded in each rectangle, but not the very same three. This to be done intentionally to show that any type of 3 that the 4 equal parts have the right to be shaded to stand for the portion three-fourths.

A. 

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B. 

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Example 7:

In instance 7, every circle is shaded in different sections. However, both circles represent the portion two-thirds. The value of a fraction is not changed by i m sorry sections room shaded.

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Example 8:

In instance 8, every rectangle is shaded in various sections. However, both rectangles stand for the portion two-fifths. As soon as again, the worth of a portion is not readjusted by which sections room shaded.

A. 

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B. 

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In the instances above, us demonstrated that the worth of a portion is not changed by i beg your pardon sections room shaded. This is because a fraction is the number of shaded parts separated by the number of same parts.

Let"s look in ~ 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 one in both instances represent the very 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 instance 11, the rectangle is positioned horizontally; conversely, in instance 12, the rectangle is positioned vertically. Both rectangles represent the portion four-fifths. The positioning of a shape does not readjust the value of the portion it represents.

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Example 12:

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Remember that a portion is the number of shaded parts divided by the number of equal parts.

In example 13, we will certainly write each fraction using words. Location your computer mouse over the red message to check out if you acquired it right.

Example 13
NumberWords
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answer 1
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answer 3
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answer 4

Summary: What room Fractions? A portion names part of a an ar or component of a group. A portion is the number of shaded parts separated by the number of equal parts. The numerator is the number over the portion bar, and the denominator is the number below the portion bar.

See more: Which Sequence Represents The Levels Of Biological Organization From Smallest To Largest

Exercises

In practice 1 with 5, click once in solution BOX and form in her answer; climate click ENTER. After girlfriend click ENTER, a blog post will show up in the results BOX to show whether your answer is correct or incorrect. To begin over, click CLEAR. Note: To write the fraction two-thirds, enter 2/3 into the form.

1. What fraction is represented by the shaded rectangle below?
 
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ANSWER BOX:   

RESULTS BOX: 

2. What fraction is stood for by the shaded one below?
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ANSWER BOX:   

RESULTS BOX: