Convert Units Using Ratio Reasoning - 6th Grade Math

$3\ \text{ft}$. $36\ \text{in} \times \frac{1\ \text{ft}}{12\ \text{in}} = 3\ \text{ft}$

$0.6\ \text{L}$. $600\ \text{mL} \times \frac{1\ \text{L}}{1000\ \text{mL}} = 0.6\ \text{L}$

$750\ \text{g}$. $0.75\ \text{kg} \times \frac{1000\ \text{g}}{1\ \text{kg}} = 750\ \text{g}$

$1.2\ \text{kg}$. $1200\ \text{g} \times \frac{1\ \text{kg}}{1000\ \text{g}} = 1.2\ \text{kg}$

$320\ \text{cm}$. $3.2\ \text{m} \times \frac{100\ \text{cm}}{1\ \text{m}} = 320\ \text{cm}$

$1.5\ \text{h}$. $90\ \text{min} \times \frac{1\ \text{h}}{60\ \text{min}} = 1.5\ \text{h}$

$2500\ \text{mL}$. $2.5\ \text{L} \times \frac{1000\ \text{mL}}{1\ \text{L}} = 2500\ \text{mL}$

$240\ \text{min}$. $4\ \text{h} \times \frac{60\ \text{min}}{1\ \text{h}} = 240\ \text{min}$

$2.5 \text{min}$. $150 \text{s} \times \frac{1 \text{min}}{60 \text{s}} = 2.5 \text{min}$

$\frac{1\ \text{m}}{100\ \text{cm}}$. Since 1 meter equals 100 centimeters, this fraction equals 1.

$360\ \text{cm}$. Multiply: $3.6\ \text{m} \times \frac{100\ \text{cm}}{1\ \text{m}} = 360\ \text{cm}$.

$1.5\ \text{kg}$. Multiply: $1500\ \text{g} \times \frac{1\ \text{kg}}{1000\ \text{g}} = 1.5\ \text{kg}$.

$2000\ \text{g}$. Multiply: $2\ \text{kg} \times \frac{1000\ \text{g}}{1\ \text{kg}} = 2000\ \text{g}$.

$0.75\ \text{L}$. Multiply: $750\ \text{mL} \times \frac{1\ \text{L}}{1000\ \text{mL}} = 0.75\ \text{L}$.

$\frac{1\ \text{kg}}{1000\ \text{g}}$. Since 1 kilogram equals 1000 grams, this fraction equals 1.

$1200\ \text{mL}$. Multiply: $1.2\ \text{L} \times \frac{1000\ \text{mL}}{1\ \text{L}} = 1200\ \text{mL}$.

$\frac{1\ \text{L}}{1000\ \text{mL}}$. Since 1 liter equals 1000 milliliters, this fraction equals 1.

$\text{ft}$. The ft units cancel: $\frac{5\ \text{ft} \cdot 12\ \text{in}}{1\ \text{ft}}$.

$36\ \text{in}$. Multiply: $3\ \text{ft} \times \frac{12\ \text{in}}{1\ \text{ft}} = 36\ \text{in}$.

$4\ \text{ft}$. Multiply: $48\ \text{in} \times \frac{1\ \text{ft}}{12\ \text{in}} = 4\ \text{ft}$.

$150\ \text{min}$. Multiply: $2.5\ \text{h} \times \frac{60\ \text{min}}{1\ \text{h}} = 150\ \text{min}$.

$2.5\ \text{m}$. Multiply: $250\ \text{cm} \times \frac{1\ \text{m}}{100\ \text{cm}} = 2.5\ \text{m}$.

$3\ \text{min}$. Multiply: $180\ \text{s} \times \frac{1\ \text{min}}{60\ \text{s}} = 3\ \text{min}$

$12 \text{ft}/\text{s}$. Divide distance by time: $\frac{60 \text{ft}}{5 \text{s}} = 12 \text{ft}/\text{s}$.