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How do you define a variable and write an expression for each phrase: the sum of one-half of a number and three fourths of the number?

1 Answer

Feb 8, 2016

$\frac{1}{2} n + \frac{3}{4} n$ $1/2n+3/4n$

Explanation:

Definition
Let $n$ $n$ be a variable representing "a number"

Writing the Expression
"one-half of a number" means we need to multiply the number by $\frac{1}{2}$ $1/2$
$XXX \frac{1}{2} \times n$ $color(white)("XXX")1/2xxn$

"three fourths of a number" means we have to multiply the number by $\frac{3}{4}$ $3/4$
$XXX \frac{3}{4} \times n$ $color(white)("XXX")3/4xxn$

"the sum of " something "and" something-else means that we have to add the two thing together
$XXX = (\frac{1}{2} \times n) + (\frac{3}{4} \times n)$ $color(white)("XXX")=(1/2xxn)+(3/4xxn)$

Note that the multiplication symbol ( $\times$ $xx$ ) is typically omitted and simply assumed by default.

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