How do you multiply #(6\frac { 4} { 11} ) \cdot ( 6\frac { 1} { 3} )#?

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Answer 1 · 2017-07-20T02:17:29

See a solution process below:

First, convert each of the mixed numbers to improper fractions:

#(6 4/11) * (6 1/3) => (6 + 4/11) * (6 + 1/3) =>#

#([11/11 * 6] + 4/11) * ([3/3 * 6] + 1/3) =>#

#(66/11 + 4/11) * (18/3 + 1/3) =>#

#(70/11) * (19/3)#

Next, we can multiply the numerators over the denominators multiplied:

#(70/11) * (19/3) => (70 * 19)/(11 * 3) => 1330/33#

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

#1330/33 => (1320 + 10)/33 => 1320/33 + 10/33 => 40 + 10/33 =>#

#40 10/33#