 obloudit1spk

2023-02-25

With $-\frac{2}{3}$ times 12, is the answer positive or negative? Helen House

There are three ways to write the fraction $-\frac{2}{3}$, all of which have the same meaning:
$-\frac{2}{3}=\frac{-2}{3}=\frac{2}{-3}$
They would all respond with the decimal value of -0.66666.
Only one warning sign is unfavorable, but it can be located anywhere.
$-\frac{2}{3}×12=-8$
$\frac{-2}{3}×12=-8$
$\frac{2}{-3}×12=-8$
The fraction implies that there will be a division by 3
You can also think of it as $\frac{-2×12}{3}=\frac{-24}{3}=-8$
If there were two negative signs, the answer would be positive. Kenny Turner

You can follow the steps from the question. Anytime a question instructs you to multiply two numbers, it means "x times y". $x×y=xy$
"Times" means to multiply.
Any whole number is understood to have a denominator of 1; $n=\frac{n}{1}$.
$-\frac{2}{3}×\frac{12}{1}$
When multiplying fractions, add the denominators and the numerators together.
$-\frac{2}{3}×\frac{12}{1}=$
$-\frac{2×12}{3×1}=$
$-\frac{24}{3}$
Simplify $-\frac{24}{3}$ by dividing the numerator and denominator by 3.
$-\frac{24÷3}{3÷3}=$
$-\frac{8}{1}=$
-8.

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