# How do you convert -1.3 (3 repeating) to a fraction?

Because there was only one digit that recurred in this instance, we multiplied by 10.

Multiply by 100 if two digits recur, 1000 if three digits recur, and so forth.

The fractions that are obtained in this manner always have 9, 99, 999, and so on as their denominators.

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To convert -1.3 (3 repeating) to a fraction, use the formula for repeating decimals:

x = -1.3(3)

Multiply both sides by 10 to move the decimal point:

10x = -13.(3)

Subtract x from 10x:

10x - x = -13.(3) - (-1.3(3))

9x = -12

Divide both sides by 9:

x = -12/9

Simplify the fraction:

x = -4/3

Therefore, -1.3 (3 repeating) as a fraction is -4/3.

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