what is the equivalent fraction? drag the answer into the box to match the decimal.
What Are Fractions: Step by Step Lesson with Interactive Exercises
A circle is a geometric shape that we accept seen in other lessons. The circle to the left can be used to stand for ane whole. Nosotros can divide this circle into equal parts as shown beneath.
This circumvolve has been divided into ii equal parts.
This circumvolve has been divided into 3 equal parts.
This circumvolve has been divided into 4 equal parts.
We can shade a portion of a circumvolve to proper name a specific part of the whole as shown below.
What Are Fractions? Definition: Afraction names part of a region or function of a group. The top number of a fraction is called itsnumeratorand the lesser part is itsdenominator.
So a fraction is the number of shaded parts divided by the number of equal parts every bit shown below:
number of shaded parts numerator
number of equal parts denominator
Looking at the numbers above, we accept:
There are ii equal parts, giving a denominator of ii. One of the parts is shaded, giving a numerator of one.
There are three equal parts, giving a denominator of 3. Two of the parts are shaded, giving a numerator of 2.
There are four equal parts, giving a denominator of iv. One of the parts is shaded, giving a numerator of one.
Note that the fraction bar means to split the numerator by the denominator. Let'south look at some more examples of fractions. In examples i through 4 beneath, we have identified the numerator and the denominator for each shaded circle. We accept also written each fraction as a number and using words.
Instance 1:
Half
Example 2:
Ane-3rd two-thirds
Example 3:
One-fourth Ii-fourths Three-fourths
Example 4:
One-fifth Two-fifths Three-fifths Iv-fifths
Why is the number 3/4ths written as three-fourths? Nosotros use a hyphen to distinguish a fraction from a ratio. For example, "The ratio of girls to boys in a class is iii to four." This ratio is written a3 to 4, or3:4. Nosotros exercise not know how many students are in the whole class. However, the fraction three/4 is written equally three-fourths (with a hyphen) considering 3 is 3/4 of i whole. Thus a ratio names a relationship, whereas, a fraction names a number that represents the part of a whole. When writing a fraction, a hyphen is e'er used.
It is of import to note that other shapes besides a circle can be divided in equal parts. For example, we can let a rectangle represent one whole, and so divide it into equal parts equally shown beneath.
two equal parts
3 equal parts
four equal parts
5 equal parts
Remember that a fraction is the number of shaded parts divided past the number of equal parts. In the instance below, rectangles have been shaded to represent unlike fractions.
Example v:
Half
1-third
I-fourth
One-fifth
The fractions above all have the same numerator. Each of these fractions is called a unit fraction.
Definition:Aunit fraction is a fraction whose numerator is one. Each unit fraction is part of one whole (the number 1). The denominator names that part. Every fraction is a multiple of a unit fraction.
In examples 6 through 8, nosotros will identify the fraction represented by the shaded portion of each shape.
Example 6:
In example six, there are four equal parts in each rectangle. Three sections accept been shaded in each rectangle, simply non the aforementioned iii. This was washed intentionally to demonstrate that whatsoever iii of the 4 equal parts tin exist shaded to represent the fraction three-fourths.
A.
B.
Example vii:
In example vii, each circle is shaded in unlike sections. However, both circles correspond the fraction ii-thirds. The value of a fraction is not changed by which sections are shaded.
Case eight:
In example 8, each rectangle is shaded in different sections. Still, both rectangles represent the fraction ii-fifths. Once once more, the value of a fraction is not inverse by which sections are shaded.
A.
B.
In the examples higher up, we demonstrated that the value of a fraction is non changed by which sections are shaded. This is because a fraction is thenumber of shaded parts divided past thenumber of equal parts.
Allow's look at some more examples.
Instance 9:
In example nine, the circle has been shaded horizontally; whereas, in example 10, the circle was shaded vertically. The circles in both examples stand for the aforementioned fraction, 1-half. The positioning of the shaded region does not change the value of a fraction.
Example 10:
Example 11:
In example 11, the rectangle is positioned horizontally; whereas in instance 12, the rectangle is positioned vertically. Both rectangles represent the fraction four-fifths. The positioning of a shape does non change the value of the fraction it represents.
Example 12:
Recall that a fraction is thenumber of shaded parts divided by thenumber of equal parts.
In case thirteen, nosotros will write each fraction using words. Place your mouse over the red text to meet if you got it right.
| Example 13 | |
| Number | Words |
 | answer 1 |
 | answer two |
 | answer 3 |
 | reply 4 |
Summary: What Are Fractions? A fraction names part of a region or role of a group. A fraction is the number of shaded parts divided past the number of equal parts. The numerator is the number above the fraction bar, and the denominator is the number below the fraction bar.
Exercises
In Exercises 1 through v, click once in an Answer BOX and type in your answer; then click ENTER. Afterwards you click ENTER, a message will appear in the RESULTS BOX to point whether your answer is correct or incorrect. To outset over, click Clear. Note: To write the fraction 2-thirds, enter2/3 into the form.
| one. What fraction is represented by the shaded rectangle below? | |
 | |
| two. What fraction is represented by the shaded circle below? |
 |
| iii. Write one-6th as a fraction. |
| four. Write three-sevenths equally a fraction. |
| 5. Write seven-eighths as a fraction. |
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Source: https://www.mathgoodies.com/lessons/fractions
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