6th Grade Math Textbook, Progress

Use Related Sentences to Solve Equations with Fractions

You can use related addition or subtraction sentences

to find missing fractions in some equations.

n
^15 ^45  a^13 ^59 

n^45 ^15  a^59 
^13 

n^35  a^59 
^39 ^89 

Use a related sentence to find the missing fraction or whole number.

15. n
    ^18 ^78  16. y^16 ^16  17. m
    ^13 ^12  18. z^19  118 


16. p^56 ^38  20. t
    ^35 ^56  21. c 0 ^35  22. d
    0  152 


17. f 3 ^12  3 ^12  24. g 1 ^14 ^34  25. ^23 r^13  26. ^78 b
     176 

Use the table on page 230 for problems 27–28.

27. How much greater is the fractional 28. How much greater is the fractional
    part of family income spent on part of family income spent on
    food for China than for Japan? food for India than for Mexico?


28. Mr. Baumbach plans to leave his estate to four charities.
    One charity gets 
    1
    4 of his estate, the second gets  1

1

6 , and the third

gets ^38 . How much does the fourth charity get? Explain your answer.

Find the difference.

11. 
    7
    8 

4

5  12.  1

3

0  3

7

0  13. 1

4

1  2

8

2  14. 

2

4

5

8 

3

8 

related

subtraction

sentence

related

addition

sentence

Write a word problem with two fractions so that the:

30. sum is ^12  31. difference is ^18  32.difference is ^1425 

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