How do I convert metric units of volume with fraction problems in it?

Determine how many of the target units are in one of the starting units (e.g., 1 L = 1000 mL).

• If converting from a larger unit to a smaller unit (e.g., Liters to milliliters), you will multiply by the conversion factor.
• If converting from a smaller unit to a larger unit (e.g., milliliters to Liters), you will divide by the conversion factor (or multiply by its reciprocal).

• Convert mixed numbers to improper fractions before multiplying or dividing.
• Multiply fractions: Multiply the numerators and multiply the denominators.
• Divide fractions: Multiply the first fraction by the reciprocal of the second fraction.
• Simplify the resulting fraction if possible.

Example: Convert $\frac{3}{4}$ Liters to milliliters.

1 Liter = 1000 milliliters.

We are going from a larger unit (Liters) to a smaller unit (milliliters), so we multiply.
$\frac{3}{4} \text{ L} \times 1000 \frac{\text{mL}}{\text{L}}$

$\frac{3}{4} \times \frac{1000}{1} = \frac{3 \times 1000}{4 \times 1} = \frac{3000}{4}$

$\frac{3000}{4} = 750$

So, $\frac{3}{4}$ Liters is equal to 750 milliliters.