Solve 12 3/8 divided by 5 1/2 Please explain :)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

The answer is 2 1/4  or 2.25

Solving;
Convert the mixed number 12 3/8 to a improper fraction: 
= 12 3/8 = 12 x 8 + 3/8 
= 96 + 3/8 
= 99/8. 

Convert the mixed number 5 1/2 to a improper fraction: 
=5 1/2  = 5 x 2 + 1/2 
= 10 + 1/2 
= 11/2

Divide 99/8 by 11/2; dont forget the reciprocal.
99/8 / 11/2 = (99/8)(2/11) 
= 99 x 2/8 x 11 
= 198/88 
= 22 x 9/ 22 x 4 
= 9/4
= 2 1/4 or 2.25.