Look in ~ each fraction below. How are these fractions similar? how are they different?

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The fractions over are similar since each one has actually a denominator of 4. Look at the circles listed below to see exactly how these fractions space different.

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1/4 (One-fourth) 4/4 (Four-fourths)

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7/4 (Seven-fourths)

The fraction 

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 is called a proper fraction. The fractions 
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 and  are improper fractions.

Definition: A proper fraction is a fraction in i m sorry the numerator is much less than the denominator.

Definition: An improper fraction is a portion in i m sorry the numerator is greater than or equal to the denominator.

In example 1, us will identify each fraction as ideal or improper. Us will additionally write each fraction using words.

Example 1
FractionTypeWords
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improperthree-halves
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propertwo-fifths
improperthree-thirds
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properfive-sixths
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impropereleven-eighths
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impropereight-eighths

What perform the fractions in example 2 have in common?

Example 2

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2/2 (Two-halves)

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 3/3 (Three-thirds)

 4/4 (Four-fourths)

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5/5 (Five-fifths)

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6/6 (Six-sixths)

In instance 2, each portion has a molecule that is equal to that denominator. Each of this fractions is an improper fraction, same to one whole (1). One improper fraction can also be better than one whole, as displayed in instance 3.

Example 3

 

7/4 (Seven Fourths)

In the improper fraction seven-fourths, the molecule (7) is higher than the denominator (4). We deserve to write this improper fraction as a blended number.

Definition: mixed number consists the a whole-number part and a fountain part.

In examples 4 v 6, we will certainly write each improper portion as a mixed number.

Example 4

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In example 4, seven-fourths is an improper fraction. It is really the amount of four-fourths and also three-fourths. Seven-fourths is written as the mixed number one and also three-fourths, where one is the whole-number part, and three-fourths is the fountain part.

Example 5
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In example 5, the improper fraction seven-thirds is composed as the blended number two and one-third, where two is the whole-number part, and one-third is the fractional part.

Example 6
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In instance 6, the improper fraction seventeen-fifths is composed as the combined number three and two-fifths, where three is the whole-number part, and two-fifths is the fractional part.

In example 7, we will write each number using words. We will then classify every number together a ideal fraction, an not correct fraction, or a mixed number. Place your computer mouse over the answer text see if you got it right.

Example 7
NumberWordsType of Fraction
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three-eighthsanswer 1
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one and three-seventhsanswer 2
five-fifthsanswer 3
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eleven-fourthsanswer 4
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three and five-sixthsanswer 5
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eight-thirdsanswer 6
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fourteen-seventhsanswer 7

The last number in example 7 can be composed as a whole number: fourteen-sevenths is equal to 2 wholes (2).

How have the right to you call if a fraction is much less than 1, same to 1, or better than 1?

Compare the numerator and also denominatorExampleType that FractionWrite As
If the molecule denominator, climate the portion > 1.

improper fractionmixed number

Summary: A number have the right to be classified together a suitable fraction, an improper fraction, or together a blended number. Any number divided by itself is same to one. A blended number consists of a whole-number component and a fractional part.

Exercises

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

1.Write a proper fraction using only the number 7 and also 2.
 ANSWER BOX:   

RESULTS BOX: 

2.

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Write one improper fraction using just the number 5 and also 8.
 ANSWER BOX:   

RESULTS BOX: