7 Copies Of 1 Fourth

rectangle three fourths blue nonroutine

Await at each fraction below. How are these fractions similar? How are they different?

The fractions above are similar since each one has a denominator of 4. Await at the circles below to come across how these fractions are unlike.

1/4 (Ane-fourth) 4/four (Four-fourths)

circle one fourth blue 1

7/4 (Seven-fourths)

circle fourths blue

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

Definition: Aproper fraction is a fraction in which the numeratoris less than the denominator.

Definition:Animproper fraction is a fraction in which the numeratoris greater than or equal to the denominator.

What do the fractions in case 2 have in common?

Example ii

circle two halves red

2/2 (Two-halves)

circle three thirds pink

3/3 (3-thirds)

circle four fourths blue

4/4 (Four-fourths)

circle five fifths green

v/5 (Five-fifths)

circle six sixths yellow

six/6 (Six-sixths)

In example ii, each fraction has a numerator that is equal to its denominator. Each of these fractions is an improper fraction, equal to 1 whole (1). An improper fraction tin can also be greater than i whole, every bit shown in instance 3.

Example 3

circle four fourths blue

7/iv (Seven Fourths)

In the improper fraction seven-fourths, the numerator (7) is greater than the denominator (4). We tin can write this improper fraction every bit a mixed number.

Definition:Amixed number consists of a whole-number part and a partial part.

In examples 4 through half dozen, nosotros will write each improper fraction every bit a mixed number.

Example 4

In example iv, seven-fourths is an improper fraction. Information technology is really the sum of four-fourths and iii-fourths. Seven-fourths is written as the mixed number one and three-fourths, whereone is the whole-number office, andthree-fourths is the fractional part.

In example 5, the improper fraction seven-thirds is written as the mixed number 2 and ane-tertiary, where2 is the whole-number role, andone-third is the partial part.

In example 6, the improper fraction seventeen-fifths is written as the mixed number 3 and 2-fifths, wherethree is the whole-number part, andii-fifths is the fractional function.

In example vii, we will write each number using words. We will so classify each number as a proper fraction, an improper fraction, or a mixed number. Place your mouse over the answer text see if you got it right.

Example 7
Number	Words	Type of Fraction
	3-eighths	reply i
	i and three-sevenths	answer two
	five-fifths	reply 3
	eleven-fourths	respond 4
	3 and five-sixths	answer five
	eight-thirds	answer half-dozen
	fourteen-sevenths	respond 7

The final number in example 7 can be written as a whole number: fourteen-sevenths is equal to ii wholes (ii).

How tin can you lot tell if a fraction is less than 1, equal to 1, or greater than 1?

Compare the numerator and denominator	Instance	Type of Fraction	Write As
If the numerator < denominator, then the fraction < one.		proper fraction	proper fraction
If the numerator = denominator, then the fraction = 1.		improper fraction	whole number
If the numerator > denominator, then the fraction > one.		improper fraction	mixed number

Summary: A number tin be classified equally a proper fraction, an improper fraction, or as a mixed number. Any number divided by itself is equal to ane. A mixed number consists of a whole-number function and a fractional function.

Exercises

In Exercises one through 5, click one time in an ANSWER BOX and type in your reply; so click ENTER. After you click ENTER, a message volition announced in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click Clear. Note: To write the fraction two-thirds, enter2/3 into the form.

one.	Write a proper fraction using simply the digits seven and 2.

2.	Write an improper fraction using only the digits 5 and 8.

three.	Write twelve-sixths as a whole number.

four.	Write one and 2-thirds as an improper fraction.

5.	Write one and one-fourth as an improper fraction.