How do you evaluate #7/ 8\times 4/ 21#?

1 Answer
smendyka
Nov 23, 2017

See a solution process below:

Explanation:

First, rewrite the expression and cancel common terms in the numerator and denominator:

#7/(4 xx 2) xx 4/(7 xx 3) =>#

#color(red)(cancel(color(black)(7)))/(color(blue)(cancel(color(black)(4))) xx 2) xx color(blue)(cancel(color(black)(4)))/(color(red)(cancel(color(black)(7))) xx 3) =>#

#1/2 xx 1/3#

We can now multiply the two fractions:

#1/2 xx 1/3 => (1 xx 1)/(2 xx 3) => 1/6#

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