Question

Please help. Find the product or quotient in simplified form. Explain how to multiply and divide fractions.

Answer 1

5 1/6 x 1/3
first convert 5 1/6 (which is a mixed fraction) into an improper fraction ...
=> 6*5+1/6 = 31/6
=>now we have ... 31/6 * 1/3
=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 31/6 * 1/3 => 31*1 / 6*3 => 31/18 
=> then divide them to get answer as mixed fraction ..
=> 1 13/18  ..

3 1/2 / 1 1/3
=> here also first convert 3 1/2 and 1 1/3 into improper fractions ..
=> 3 1/2 => 2*3+1/2 => 7/2 
=> 1 1/3 => 3*1+1/3=> 4/3
=> now divide them ..
=> 7/2/4/3 
=> for dividing fractions we take the reciprocal of one fraction and then multiply ..
=> 7/2 * 3/4 
=> now multiply these two fractions ..
=> 7*3/2*4 => 21/8 
=> answer as mixed fraction = 2 5/8 ...

Hope it helps !!!