Question Solve: $$ \frac{m}{m+9}=\frac{63}{22} $$

Question

UpStudy AI · Accepted Answer

We are given the equation:

$$
\frac{m}{m+9}=\frac{63}{22}
$$

**Step 1. Cross Multiply**

Multiply both sides of the equation by $$(m+9)$$ and $$22$$ to eliminate the fractions:

$$
22 \cdot m = 63 \cdot (m+9)
$$

**Step 2. Distribute on the Right-hand Side**

Distribute $$63$$ over $$(m+9)$$:

$$
22m = 63m + 567
$$

**Step 3. Isolate the Variable**

Subtract $$63m$$ from both sides to collect like terms:

$$
22m - 63m = 567
$$

This simplifies to:

$$
-41m = 567
$$

**Step 4. Solve for $$m$$**

Divide both sides by $$-41$$:

$$
m = \frac{567}{-41} = -\frac{567}{41}
$$

Thus, the solution is:

$$
m = -\frac{567}{41}
$$
$$ m = -\frac{567}{41} $$

Question Solve: \( \frac{m}{m+9}=\frac{63}{22} \)