How do you multiply #\frac { 3} { 4} \times 2\frac { 1} { 3} \times 4#?

1 Answer
smendyka
Sep 9, 2017

See a solution process below:

Explanation:

First, rewrite the two terms on the right as fractions:

#3/4 xx (2 + 1/3) xx 4/1 =>#

#3/4 xx ([3/3 xx 2] + 1/3) xx 4/1 =>#

#3/4 xx (6/3 + 1/3) xx 4/1 =>#

#3/4 xx (6 + 1)/3 xx 4/1 =>#

#3/4 xx 7/3 xx 4/1#

Next, rewrite the expression as:

#(3 xx 7 xx 4)/(4 xx 3 xx 1)#

Now cancel common terms in the numerator and denominator:

#(color(red)(cancel(color(black)(3))) xx 7 xx color(blue)(cancel(color(black)(4))))/(color(blue)(cancel(color(black)(4))) xx color(red)(cancel(color(black)(3))) xx 1) =>#

#7/1 => 7#

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