3) $$ \frac{6}{7} \div \frac{1}{2}= $$

Question

UpStudy AI · Accepted Answer

To solve the division of two fractions:

$$
\frac{6}{7} \div \frac{1}{2}
$$

**Step 1: Rewrite the division as multiplication by the reciprocal.**

$$
\frac{6}{7} \div \frac{1}{2} = \frac{6}{7} \times \frac{2}{1}
$$

**Step 2: Multiply the numerators together and the denominators together.**

$$
\frac{6 \times 2}{7 \times 1} = \frac{12}{7}
$$

**Step 3: Simplify the fraction if possible.**

In this case, $$\frac{12}{7}$$ is already in its simplest form. It can also be expressed as a mixed number:

$$
\frac{12}{7} = 1 \frac{5}{7}
$$

**Final Answer:**

$$
\frac{12}{7} \quad \text{or} \quad 1 \frac{5}{7}
$$
$$\frac{12}{7}$$ or $$1 \frac{5}{7}$$

Upstudy AI Solution