Question

1. what is the value of the expression (\frac{x}{y}) when (x =-\frac{7}{9}) and (y=-0.2)? hint: convert - 0.2 to a fraction.

Explanation:

Step1: Convert -0.2 to fraction

-0.2 = $-\frac{1}{5}$

Step2: Substitute values

Substitute $x =-\frac{7}{9}$ and $y =-\frac{1}{5}$ into the expression (not shown in the picture clearly, but assuming a general $x$ and $y$ - related expression). Let's assume the expression is just $x\div y$. Then we have $-\frac{7}{9}\div(-\frac{1}{5})$.

Step3: Apply division - rule for fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So $-\frac{7}{9}\div(-\frac{1}{5})=-\frac{7}{9}\times(-5)=\frac{35}{9}$

Answer:

$\frac{35}{9}$