what is the quotient of $-\frac{3}{8}$ and $-...
what is the quotient of $-\frac{3}{8}$ and $-\frac{1}{3}$?\n- $-1\frac{1}{8}$\n- $-\frac{1}{8}$\n- $\frac{1}{8}$\n- $1\frac{1}{8}$
Answer
# Explanation:
## Step1: Recall division rule for fractions
To divide $\frac{a}{b}$ by $\frac{c}{d}$, we multiply $\frac{a}{b}$ by the reciprocal of $\frac{c}{d}$, i.e., $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$. Here, $a = - 3$, $b = 8$, $c=-1$, $d = 3$. So, $-\frac{3}{8}\div(-\frac{1}{3})=-\frac{3}{8}\times(-\frac{3}{1})$.
## Step2: Multiply the fractions
When we multiply $-\frac{3}{8}\times(-\frac{3}{1})$, we multiply the numerators together and the denominators together. The product of the numerators $(-3)\times(-3)=9$, and the product of the denominators $8\times1 = 8$. So the result is $\frac{9}{8}$.
## Step3: Convert to mixed - number
$\frac{9}{8}=1\frac{1}{8}$ since $9\div8 = 1$ with a remainder of $1$.
# Answer:
$1\frac{1}{8}$