# How do you translate "the quotient of twice a number t and 12" into a mathematical expression?

May 30, 2018

See a solution process below:

#### Explanation:

• the quotient of is the result of dividing two terms

• The first term is - Twice a number $t$: $2 t$

• The second term is - and 12: $12$

$2 t \div 12$ or $\frac{2 t}{12}$

May 30, 2018

Literally: $\setminus \frac{2 t}{12}$

Simplified: $\setminus \frac{t}{6}$

#### Explanation:

Let's translate the expression: "the quotient of $x$ and $y$" means that we will have to divide the numbers: $\setminus \frac{x}{y}$

In this case, $x$ is described as "twice a number $t$". Twice a number means that number multiplied by $2$, so twice a number $t$ translates as $2 t$

So, the fraction is $\setminus \frac{2 t}{12}$, which can be simplified into $\setminus \frac{t}{6}$