3 5/9 divided by -5/8

Mathematics · Middle School · Tue Nov 03 2020

Answered on

The answer is -5 31/45 ≅ -5.6888889.

To solve for fractions, 
Convert the mixed number 3 5/9 to a improper fraction:
3 5/9 = 3 x 9 + 5/9 
= 27 + 5/9 
= 32/9
Divide 32/9 and -5/8;
= 32/9 x -5/8
Get the reciprocal value of -5/8 before multiplying.
= 32/9 x -8/5 
= 32 x (-8)/ 9 x 5 
= -256/45 or -5 31/45 or ≅ -5.6888889