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Write the mixed number -5 4/9 as a fraction in 3 different ways and in the decimal form

User MJM
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1 Answer

6 votes

-5 4/9 = 4/9 + 45/9 = -49/9

If we multiply it by 2/2, we got -98/18

If we multiply it by 3/3, we got -147/27

Therefore, we can express -5 4/9 in the forms -49/9, -98/18, and - 147/27

Now, let's represent it in decimal form

45 is the greatest number divisible by 9 that is equal to or less than 49, therefore, we subtract 45 from 49 and add 5 to the solution:

49 | 9

-45 | 5

4 | 9

| 5

Now we multiply 4 by 10, walk one decimal place on the solution and do again the previous steps:

40 | 9

| 5.

40 | 9

-36 | 5.4

4 | 9

| 5.4

Replacing these steps, we find that -49/9 = -5444...

User Rachel Harvey
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