How do you use the distributive property to rewrite and evaluate $(4 \frac{2}{7}) 21$ $(4 2/7)21$ ?

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Answer 1 · 2017-12-12T12:48:17

See a solution process below:

To use the distributive property, first rewrite the term within the parenthesis as:

$(4 + \frac{2}{7}) 21$ $(4 + 2/7)21$

Next, multiply each term within the parenthesis by the term outside the parenthesis:

$(4 + \frac{2}{7}) 21 \Rightarrow$ $(4 + 2/7)color(red)(21) =>$

$(4 \times 21) + (\frac{2}{7} \times 21) \Rightarrow$ $(4 xx color(red)(21)) + (2/7 xx color(red)(21)) =>$

$84 + (2/color(red)(cancel(color(black)(7))) xx cancel(color(red)(21))3) =>$

$84 + 6 =>$

$90$

How do you use the distributive property to rewrite and evaluate (4 2/7)21(427)21(4 2/7)21?