What is the value of the expression $$ 31.68 \div(-4.8) $$ ? F -6.7 G $$ 6 \frac{1}{2} $$ H 6.6 J $$ -6 \frac{3}{5} $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression $$ 31.68 \div (-4.8) $$:

$$
31.68 \div (-4.8) = \frac{31.68}{-4.8} = -\frac{31.68}{4.8}
$$

Let's simplify the division:

1. **Simplify the Numbers:**
   $$
   \frac{31.68}{4.8} = \frac{3168}{480} \quad (\text{Multiplying numerator and denominator by 100})
   $$

2. **Reduce the Fraction:**
   $$
   \frac{3168 \div 16}{480 \div 16} = \frac{198}{30} = 6.6
   $$

3. **Apply the Negative Sign:**
   $$
   -6.6
   $$

Among the provided options:

- **F:** -6.7
- **G:** $$ 6 \frac{1}{2} = 6.5 $$
- **H:** 6.6
- **J:** $$ -6 \frac{3}{5} = -6.6 $$

The correct value is **$$ -6 \frac{3}{5} $$**, which corresponds to option **J**.

**Answer:** **J $$ -6 \frac{3}{5} $$**
The value of the expression $$ 31.68 \div (-4.8) $$ is $$ -6 \frac{3}{5} $$, which is option J.

What is the value of the expression \( 31.68 \div(-4.8) \) ? F -6.7 G \( 6 \frac{1}{2} \) H 6.6 J \( -6 \frac{3}{5} \)