What is the quotient when you divide − 3/4

Question

What is the quotient when you divide  − 3/4
  by  3.8
 ?(1 point)
Responses

− 9/32
negative Start Fraction 9 over 32 End Fraction

2

−359
negative 3 Start Fraction 5 over 9 End Fraction

−2

GPT-4o mini · Answer

To divide $-\frac{3}{4}$ by $3.8$, you can follow these steps: 1. Convert $3.8$ to a fraction. Since $3.8 = \frac{38}{10}$, we can simplify it to $\frac{19}{5}$ by dividing the numerator and denominator by $2$. 2. Now, you need to divide $-\frac{3}{4}$ by $\frac{19}{5}$: $$ -\frac{3}{4} \div \frac{19}{5} = -\frac{3}{4} \times \frac{5}{19} $$ 3. Now multiply the fractions: $$ = -\frac{3 \times 5}{4 \times 19} = -\frac{15}{76} $$ The quotient when dividing $-\frac{3}{4}$ by $3.8$ is: $$ -\frac{15}{76} $$ Since this option doesn't appear in your responses, it seems there may be a miscommunication regarding the choices listed. However, the calculated correct quotient is $-\frac{15}{76}$. If we consider decimals: $-\frac{3}{4} \approx -0.75$ and $3.8$ means $-0.75 \div 3.8$ which also gives approximately $-0.1974$, leading to consistent results. If exact options were sought, please review the context provided or verify options available.