- 126/35= -3.6

-9/24= -.379

Are these answers correct? and what are the rules for dealing with negative fractions writing rational numbers as a terminating decimal?

- 126/35= -3.6

-9/24= -.379

Are these answers correct? and what are the rules for dealing with negative fractions writing rational numbers as a terminating decimal?

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The sign (positive or negative) is completely independent of the magnitude of the fraction (or the repeating decimal) -- which means that you can ignore the signs when dividing, then decide whether it is postive or negative by counting how many minus signs there are in front of the numerator and denominator: if the number of minus signs is ODD, then the number is negative; if even (including zero) minus signs preceed the value, then it is positive.

126 divided by 35 is 3+21/35 or 3+3/5 or 3.6; since there is one minus sign, the answer is -3.6

9 divided by 24 is 9/24 or 3/8 or .375; since there is one minus sign, the answer is -0.375

(-.379 is incorrect).

To check equality between a fraction and a number with a decimal you can divide the numerator by the denominator. The fact that it is a negative will not change by doing this.

-126 divided by 35 equals -3.6.

-9 divided by 24 equals -.375.

So, as far as I can see, the first one is right but the second one is wrong.