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

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

This circle has actually been split into 2 equal parts.

This circle has been divided into 3 same parts.

This circle has actually been split into 4 same parts.

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

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 component is its denominator.

So a fraction is the variety of shaded parts separated by the number of equal parts as presented below:

number of equal parts denominator

Looking at the numbers above, us have:

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

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

There are 4 equal parts, providing a denominator of 4. One of the parts is shaded, offering a numerator of 1.

Note the the fraction bar means to division the molecule by the denominator. Let"s look in ~ some much more examples that fractions. In examples 1 through 4 below, us have identified the numerator and the denominator because that each shaded circle. Us have also written each portion as a number and using words.

Example 1:

One-half

Example 2:

One-third two-thirds

Example 3:

One-fourth Two-fourths Three-fourths

Example 4:

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

Why is the number 3/4ths written as three-fourths? We use a hyphen to distinguish a portion from a ratio. For example, "The proportion of girls to guys in a class is 3 come 4." This ratio is composed a 3 to 4, or 3:4. We do not recognize how plenty of students space in the totality class. However, the portion 3/4 is composed as three-fourths (with a hyphen) since 3 is 3/4 of one whole. Thus 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 always used.

It is necessary to note that various other shapes besides a circle can be divided in equal parts. For example, we can let a rectangle represent one whole, and then division it right into equal components as shown below.

two same parts

three equal parts

four same parts

five same parts

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

Example 5:

One-half

One-third

One-fourth

One-fifth

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

Definition: unit fraction is a portion whose molecule is one. Each unit portion is component of one whole (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 fraction represented by the shaded part of every shape.

Example 6:

In instance 6, over there are four equal components in each rectangle. Three sections have actually been shaded in every rectangle, yet not the exact same three. This to be done deliberately to show that any kind of 3 the the 4 equal parts deserve to be shaded to represent the portion three-fourths.

A.

B.

Example 7:

In example 7, each circle is shaded in different sections. However, both circles represent the fraction two-thirds. The value of a portion is not adjusted by i m sorry sections are shaded.

Example 8:

In example 8, every rectangle is shaded in different sections. However, both rectangles stand for the fraction two-fifths. Once again, the value of a fraction is not changed by i m sorry sections room shaded.

A.

B.

In the examples above, us demonstrated the the value of a fraction is not readjusted by i beg your pardon sections room shaded. This is since a portion is the number of shaded parts split by the number of equal parts.

Let"s look in ~ some an ext examples.

Example 9:

In instance 9, the circle has actually been shaded horizontally; whereas, in instance 10, the circle to be shaded vertically. The circles in both instances represent the same fraction, one-half. The placing of the shaded region does not adjust the value of a fraction.

Example 10:

Example 11:

In example 11, the rectangle is positioned horizontally; conversely, in instance 12, the rectangle is positioned vertically. Both rectangles stand for the fraction four-fifths. The positioning of a form does not readjust the value of the fraction it represents.

Example 12:

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

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