Questions: Find the quotient, and write in lowest terms, if necessary. -1/2 ÷ 2 -1/2 ÷ 2 = (Type an integer or a simplified fraction.)

$Find the quotient, and write in lowest terms, if necessary. -1/2 ÷ 2 -1/2 ÷ 2 = (Type an integer or a simplified fraction.)$

Transcript text: Find the quotient, and write in lowest terms, if necessary. \[ -\frac{1}{2} \div 2 \] $-\frac{1}{2} \div 2=$ $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

To find the quotient of $-\frac{1}{2} \div 2$, we can rewrite the division as multiplication by the reciprocal. Specifically, dividing by 2 is the same as multiplying by $\frac{1}{2}$. Therefore, we need to multiply $-\frac{1}{2}$ by $\frac{1}{2}$ and simplify the result.

Step 1: Rewrite the Division as Multiplication

To find the quotient of $-\frac{1}{2} \div 2$, we can rewrite the division as multiplication by the reciprocal. Specifically, dividing by 2 is the same as multiplying by $\frac{1}{2}$.

Step 2: Perform the Multiplication

Now, we need to multiply $-\frac{1}{2}$ by $\frac{1}{2}$: \[ -\frac{1}{2} \times \frac{1}{2} = -\frac{1 \times 1}{2 \times 2} = -\frac{1}{4} \]