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