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24/9

To convert 2.666667 to a fraction:

1. Let x = 2.666667 - equation (1)

2. The repeating digit is 6.

3. Place the repeating digit to the left of the decimal point.

In this case, move the decimal point 1 place to the right by multiplying it by 10.

Thus,

(x = 2.666667) * 10

10x = 26.66667 - equation (2)

4. Subtract Eq.(1) from Eq.(2)

10x - x = 26.66667 - 2.666667

9x = 24

divide both sides by 9

x = 24/9

.

3. Place the repeating digit to the left of the decimal point.

In this case, move the decimal point 1 place to the right by multiplying it by 10.

Thus,

(x = 2.666667) * 10

10x = 26.66667 - equation (2)

4. Subtract Eq.(1) from Eq.(2)

10x - x = 26.66667 - 2.666667

9x = 24

divide both sides by 9

x = 24/9

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12y ago

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Anonymous

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