Math Homework: Reducing Fractions and Determining Dimensions - Prof. Sheldon H. Dan, Assignments of Elementary Mathematics

A math homework assignment focusing on reducing fractions to their lowest terms and determining dimensions of objects. Instructions and examples for adding, subtracting, multiplying, and dividing fractions, as well as finding missing dimensions by adding given dimensions and subtracting from the total length.

Typology: Assignments

Pre 2010

Uploaded on 08/13/2009

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Name___________________
DSPM 0700 HOMEWORK
Instructions: Reduce all answers to lowest terms.
1. Add:
3 5
14 7
3 5 3 10
14 7 14 14
13
14
(LCD = 14. Change to common denominator)
(Add numerators)
2. One book measures
1
26
inches thick and a second book measures
7
39
inches thick.
What is the total thickness?
3
1
6 18
714
9 18
17
18
2 2 (Use common denominator)
3 3
5 (Add whole-number parts and fractions separately)
The total thickness is
17
18
5
inches.
Subtract the following:
3.
5 7
12 18
5 7 15 14
12 18 36 36
1
36
(LCD = 36)
4.
1 3
9 3
32 8
pf3

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Name___________________

DSPM 0700 HOMEWORK

Instructions: Reduce all answers to lowest terms.

  1. Add:

3 5 3 10

14 7 14 14

13

14

(LCD = 14. Change to common denominator)

(Add numerators)

  1. One book measures

inches thick and a second book measures

inches thick.

What is the total thickness?

1 3

6 18

7 14

9 18

17

18

2 2 (Use common denominator)

5 (Add whole-number parts and fractions separately)

The total thickness is

17

18

inches.

Subtract the following:

5 7 15 14

12 18 36 36

1

36

   (LCD = 36)

1 1 33

32 32 32

3 12 12

8 32 32

21

32

5 (Cannot subtract fraction parts. Regroup 1 unit

as thirty-seconds.

1 1 32 1 33

32 32 32 32 32

  1. Determine the missing dimension:

57 in.

22 3/8 in. 10 5/16 in.

Add the given dimensions, then subtract from the total length.

3 6

8 16

5 5

16 16

11

16

16

16

11 11

16 16

5

16

The missing dimension is

5

16

in.

Multiply the following. Any improper fraction answers should be changed to mixed

numbers:

(Multiply numerators, multiply denominators,

divide by GCF and reduce to lowest terms)

1

1

2

1

18

9

("Cancel" by taking common factors

out of numerator and denominator)

1

1

4

1

(There may be more than one way to cancel)