How do you use the distributive property to rewrite and simplify #15(f+1/3)#?

1 Answer
smendyka
May 29, 2017

See a solution process below:

Explanation:

First, to use the distributive property, multiply each term within the parenthesis by the term outside the parenthesis:

#color(red)(15)(f + 1/3) => (color(red)(15) xx f) + (color(red)(15) xx 1/3) =>#

#15f + 15/3#

To simplify, factor and cancel common terms for the fraction on the right side of the expression:

#15f + 15/3 => 15f + (3 xx 5)/3 => 15f + (color(red)(cancel(color(black)(3))) xx 5)/color(red)(cancel(color(black)(3))) =>#

#15f + 5#

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