Question 11
Divide. Simplify your answer and write as a proper fraction, improper fraction, or whole number.

Question

Question 11 Divide. Simplify your answer and write as a proper fraction, improper fraction, or whole number. $$ \frac{2}{3} \div 4 $$

UpStudy AI · Accepted Answer

To divide $$ \frac{2}{3} $$ by 4 and simplify the result, follow these steps:

1. **Rewrite the Division as a Multiplication:**

Dividing by a number is the same as multiplying by its reciprocal. So, dividing by 4 is the same as multiplying by $$ \frac{1}{4} $$.

$$
   \frac{2}{3} \div 4 = \frac{2}{3} \times \frac{1}{4}
   $$

2. **Multiply the Fractions:**

Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.

$$
   \frac{2 \times 1}{3 \times 4} = \frac{2}{12}
   $$

3. **Simplify the Fraction:**

Find the greatest common divisor (GCD) of the numerator and the denominator to reduce the fraction to its simplest form. The GCD of 2 and 12 is 2.

$$
   \frac{2 \div 2}{12 \div 2} = \frac{1}{6}
   $$

4. **Final Answer:**

$$
   \frac{2}{3} \div 4 = \frac{1}{6}
   $$

The simplified answer is $$ \frac{1}{6} $$, which is a proper fraction.
The simplified answer is $$ \frac{1}{6} $$.

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