PROPER FRACTIONS, MIXED NUMBERS, IMPROPER FRACTIONS

PROBLEMS

To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
Do the problem yourself first!


  11.  a)  Why is this number   1
3
  called "one-third"?

Because 1 is one third of 3.

  11.  b)   1
3
 is which part of 1?  One third.
  11.  c)  Place  1
3
 on this number line.

12.  What ratio has each number to 1?

 12.  a)   1
2
is one half of 1.                b)   1
4
is one quarter of 1.
 12.  c)   3
4
is three quarters of 1.                d)   1
3
is one third of 1.
 12.  e)   2
3
is two thirds of 1.                f)   5
8
is five eighths of 1.

13.  Read each number.

 13.  a)    7 
12
  Seven twelfths.   b)   11
 2
  Eleven halves.
 
 13.  c)   8
3
  Eight thirds.   d)   37
59
  37 over 59.
 
 13.  e)     9 
100
  9 hundredths.   f)      7   
1000
  7 thousandths.
 13.  g)        246     
1,000,000
  246 millionths.
 13.  h)  6 3
8
  Six and three eighths.   i)  7  5
16
  Seven and five sixteenths.

14.  Write the meaning of each mixed number.

14.     a)  1 1
2
  = 1 +  1
2
  b)  2 3
4
  = 2 +  3
4
    c)  3 5
8
  = 3 +  5
8

15.  From this list, pick out the proper fractions, and pick out the
16.  improper fractions.

2
5
    5
2
    7
9
    9
7
    7
7
    7
8
    8
5

Proper fractions:

2
5
   7
9
   7
8

Improper fractions:

5
2
    9
7
    7
7
    8
5

16.  What kind of fractions are less than 1?  Proper fraction.

1  7.  a)   What number is three fifths of 1?   3
5

17.  b)  Place that number on the number line.

18.  What number is at the arrow?

1
4

4
5

2 2
3

19.  Cut the number line and place each number on it:

1
5
     2
5
     3
5
     4
5
    1 2
5
    2 1
5
    4 3
5

10.  Cut the number line and place each number on it.

a)   2
3
 
 
b)   3
4
 
 
c)   5
8
 
 
d)  2 3
4
 
 
e)  3 3
8
 

11.  Answer with a mixed number or with a whole number plus a
11.  remainder
, whichever makes sense.

11.  a)  It takes three yards of material to make a skirt. How many skirts
11.  a)  can you make from 25 yards?

8 skirts. 1 yard will remain.

11.  b)  You are going on a journey of 25 miles, and you have gone a
11.  b)  third of the distance. How far have you gone?

8 1
3
 miles.

12.  Change each improper fraction to a mixed number or a whole
12.  number.  Do not write the division box.  Divide mentally.

12.   a)  7
5
 = 1 2
5
  b)   24
 3
 = 8     c)   23
 9
 = 2 5
9
  d)   31
 8
 = 3 7
8
 
12.   e)   10
10
 = 1     f)   12
12
 = 1     g)   71
 9
 = 7 8
9
  h)   53
 6
 = 8 5
6
 
12.   i)  63
 7
 = 9     j)   43
 6
 = 7 1
6
  k)   75
 8
 = 9 3
8
  l)   74
 9
 = 8 2
9

13.  Change each mixed number to an improper fraction.

11.     a)  1 2
3
 =  5
3
  b)  3 2
5
 =  17
 5
  c)  7 5
8
 =  61
 8
  d)  9 6
7
 =  69
 7
 
13.     e)  6 5
9
 =  59
 9
  f)  8 4
7
 =  60
 7
  g)  7 1
6
 =  43
 6
  h)  9 7
8
 =  79
 8

14.  Place on the number line.

  14.   a)   7
3
 
 
  14.   b)   15
 4 
 
 
  14.   c)   23
 5 
 

Continue on to the next Lesson.

or

Return to the previous section.

Table of Contents


Please make a donation to keep TheMathPage online.
We do not accept advertising. Even $1 will help.


Copyright © 2001-2007 Lawrence Spector

Questions or comments?

E-mail:  themathpage@nyc.rr.com