Solve for $$ k $$ : $$ \frac{3 k}{8}=\frac{2}{7} $$

Question

UpStudy AI · Accepted Answer

To solve for $$ k $$ in the equation:

$$
\frac{3k}{8} = \frac{2}{7}
$$

follow these steps:

### Step 1: Eliminate the Denominator

Multiply both sides of the equation by 8 to eliminate the denominator on the left side:

$$
8 \times \frac{3k}{8} = 8 \times \frac{2}{7}
$$

This simplifies to:

$$
3k = \frac{16}{7}
$$

### Step 2: Solve for $$ k $$

Now, divide both sides of the equation by 3 to isolate $$ k $$:

$$
k = \frac{16}{7} \div 3
$$

Dividing by 3 is the same as multiplying by $$ \frac{1}{3} $$:

$$
k = \frac{16}{7} \times \frac{1}{3} = \frac{16}{21}
$$

### Final Answer

$$
k = \frac{16}{21}
$$
$$ k = \frac{16}{21} $$

Solve for \( k \) : \( \frac{3 k}{8}=\frac{2}{7} \)