How do you multiply #(6\frac { 3} { 16} ) \cdot ( 3\frac { 1} { 5} )#?

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Answer 1 · 2017-07-21T02:45:45

See a solution process below:

First, convert the mixed numbers to improper fractions:

#(6 3/16) * (3 1/5) => (6 + 3/16) * (3 + 1/5) =>#

#([16/16 xx 6] + 3/16) * ([5/5 xx 3] + 1/5) =>#

#(96/16 + 3/16) * (15/5 + 1/5) =>#

#99/16 * 16/5#

Next, we can multiply the numerators over the denominators:

#(99 xx 16)/(16 * 5) =>#

#(99 xx color(red)(cancel(color(black)(16))))/(color(red)(cancel(color(black)(16))) * 5) =>#

#99/5#

Now, if necessary, we can convert this improper fraction into a mixed number:

#99/5 => (95 + 4)/5 => 95/5 + 4/5 => 19 + 4/5 = 19 4/5#