Question

two conversion factors
units of capacity
customary system units metric system units
1 gallon 3.79 liters
1 quart 0.95 liters
1 cup 0.237 liters
how many centiliters are in 5 quarts?
quarts → liters → centiliters
\\(\frac{5\text{ quarts}}{1} \times \frac{a}{b} \times \frac{c}{d} = 475\text{ cl}\\)
\\(a = \\)
\\(b = \\)
\\(c = \\)
\\(d = \\)

Explanation:

Step1: Convert quarts to liters

Use the conversion factor from the table: 1 quart = 0.95 liters. So the first conversion fraction is $\frac{0.95 \text{ liters}}{1 \text{ quart}}$, meaning $a=0.95 \text{ liters}$, $b=1 \text{ quart}$.

Step2: Convert liters to centiliters

Use the metric conversion: 1 liter = 100 centiliters. So the second conversion fraction is $\frac{100 \text{ cL}}{1 \text{ liter}}$, meaning $c=100 \text{ cL}$, $d=1 \text{ liter}$.

Step3: Verify the calculation

$$\frac{5 \text{ quarts}}{1} \times \frac{0.95 \text{ liters}}{1 \text{ quart}} \times \frac{100 \text{ cL}}{1 \text{ liter}} = 5 \times 0.95 \times 100 \text{ cL} = 475 \text{ cL}$$

Answer:

$a = 0.95 \text{ liters}$
$b = 1 \text{ quart}$
$c = 100 \text{ cL}$
$d = 1 \text{ liter}$