Questions: Divide. Reduce if necessary. 2/3 ÷ 1/3 a) 1 b) 3/3 c) 1/3 d) 2

Transcript text: Question 14 (0.5 points) Divide. Reduce if necessary. $\frac{2}{3} \div \frac{1}{3}$ a) 1 b) $\frac{3}{3}$ c) $\frac{1}{3}$ d) 2

Solution

Solution Steps

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, multiply $\frac{2}{3}$ by the reciprocal of $\frac{1}{3}$, which is $\frac{3}{1}$. Simplify the resulting fraction if possible.

Step 1: Set Up the Division of Fractions

We start with the expression $ \frac{2}{3} \div \frac{1}{3} $. To divide by a fraction, we multiply by its reciprocal. Thus, we rewrite the expression as: \[ \frac{2}{3} \times \frac{3}{1} \]

Step 2: Perform the Multiplication

Next, we multiply the numerators and the denominators: \[ \frac{2 \times 3}{3 \times 1} = \frac{6}{3} \]

Step 3: Simplify the Result

Now, we simplify $ \frac{6}{3} $: \[ \frac{6}{3} = 2 \]