SOLUTION: how do you convert the repeating decimal -1.666666666666667 into a fraction? I know that the answer is supposed to be neagtive 5 thirds I just don't know to get it.

Question 703862: how do you convert the repeating decimal -1.666666666666667 into a fraction?
I know that the answer is supposed to be neagtive 5 thirds I just don't know to get it.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Look just at the 0.666666... part. Finding fraction form is by looking for reciprocal. Find 1 divided by 0.66666...

For convenience, try 1 divided by 0.667. What do you get? Something close to 1.499. This is very close to 1.5, but that is near the RECIPROCAL of 0.666666..., so what then is the reciprocal of 1.5? (One point five is same as one and a half which is the same as three halves).
...
You will find 2/3.
RELATED QUESTIONS
_ Express the... (answered by richard1234)

convert the decimal into fraction 7.83 there is bar over 3(that is 7.8333 and 3 is... (answered by rfer)

Discuss how to convert a decimal into a fraction. Include in your discussion how you know (answered by rapaljer)

How do you express 2.135 repeating, the 35 is repeating, as a... (answered by richard1234)

convert in to a fraction and show how you did it 0.144 (the four in the thousands... (answered by stanbon,josmiceli)

How do you convert .72 1/3 into a percent and a decimal. I think it is in fraction form. (answered by stanbon)

F = 1.3481481481481... 1000 F = 1348.1481481481481... 999 F = 1346.8000000000000... =... (answered by Alan3354)

Convert the repeating decimal 0.1212. . . to a fraction with integer numerator and... (answered by Alan3354)

How to write the repeating decimal .9999..... as a... (answered by Fombitz)