THE MEANING OF MULTIPLYING 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!

1.  Explain the meaning of each of the following; then "multiply."

  1.   a)   1
3
 × 12  A third of 12.  4.   b)   1
7
 × 56  One seventh of 56.  8.
    1. c)   1
5
 × 35  One fifth of 35.  7.   d)   1
8
 × 72  One eighth of 72.  9.
  1.   e)  2
5
 × 40  Two fifths of 40.  16.
  1.   f)   3
4
 × 20  Three fourths of 20.  15.
  1.   g)   2
3
 × 21  Two thirds of 21.  14.
  1.   h)   5
9
 × 9  Five ninths of 9.  5.
  1.   i)   3 
20
 × 100  Three twentieths of 100.  15.
  1.  j)  11
50
 × 100  Eleven fiftieths of 100.  22.
  1.  k)   8 
25
 × 100  Eight twenty-fifths of 100.  32.
  1.  l)   7 
10
 × 100  Seven tenths of 100.  70.

2.  How much is

  2.  a)  Two thirds of 10?  6 2
3
  b)  Three fourths of 9?  6 3
4
  2.  c)  Seven tenths of 3?  2  1 
10
  d)  Five eighths of 9?  5 5
8
  2.  e)  One sixth of 7?  1 1
6
  f)  One third of 2?   2
3
  2.  g)  Five ninths of 7?  3 8
9
  h)  Seven eighths of 11?  9 5
8

3.  You are going on a journey of 25 miles, and you have gone two

   thirds of the distance.  How far have you gone?   16 2
3
 miles.

4.  A recipe calls for 4 cups of flour and 5 cups of milk.  Proportionally, 4.  how much milk should you use if

4.  a)  you use 2 cups of flour?

   Half of 5 cups of milk = 2½ cups of milk

4.  b)  you use 3 cups of flour?

   Three fourths of 5 cups of milk = 3 3
4
 cups of milk

4.  c)   you use 3½ cups of flour?

   Seven eighths of 5 cups of milk = 4 3
8
 cups of milk

5.  Express each fraction as a percent.  (Multiply times 100%.)

  3.   a)   1
6
 = 16 2
3
%   b)   5
6
 = 83 1
3
%
  3.   c)   1
9
 = 11 1
9
%   d)   8
9
 = 88 8
9
%

6.  Multiplying by a mixed number.  Calculate mentally.

6.  a)  If bananas cost 50¢ a pound, and you buy 2½ pounds, how much
4. a)   do you pay?  $1.25

6.  b)  If cheese is $3.20 a pound, and you buy 1¼ pounds, how much
4. a)    do you pay?  $4.00

7.  Calculate mentally.

  5.   a)  2½ × 10  = 25   b)  1½ × 12  = 18
 
  5.   c)  2¼ × 16  = 36   d)  3½ × 80  = 280
  5.   e)  4 1
3
 × 6  = 26   f)  4 2
3
 × 6  = 28
 
   5.  g)  4 1
4
 × 40  = 170   h) 5 3
4
 × 40  = 230

8.  Calculate mentally.

8.  a)  What is the price of 8 items at $52 each?  $416

8.  b)  A yard of material cost $5.25.  What is the price of 12 yards?  $63

8.  c)  John needs 24 feet of lumber at $1.50 a foot.  How much will he
6.  c)  pay?   $36

9.  Multiplying by numbers ending in 5.  Calculate mentally.

9.  a)  15 × 12  = 180         b)  15 × 18  = 270         c)  15 × 240  = 3600

9  d)  35 × 6  = 210           e)  25 × 16  = 400          f)  45 × 22  = 990


Continue on to the next section.

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