What is negative two ninths divided by positive 3 and one fourth?

Negative two ninths is - 2/9

positive 3 and one fourth is 3 1/4

-2/9 : 3 1/4

First, we need to convert the mixed fraction into an improper fraction.

3 1/4 = ((3*4) + 1) / 4 = 13/4

-2/9 : 13/4

Rules in dividing fractions:

1) Get the reciprocal of the 2nd fraction.

1st fraction ⇒ - 2/9

2nd fraction ⇒ 13/4; reciprocal ⇒ 4/13

2) Multiply the 1st fraction to the reciprocal of the 2nd fraction

-2/9 * 4/13 = (-2*4) / (9*13) = - 8/117

3) Simplify the fraction:

-8/117 is the simplest fraction.

-2/9 : 3 1/4 = - 8/117