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A certain food has a gluten ratio of
13mg of gluten per
L of the food.
What is the gluten ratio in micrograms per milliliter
((mug)/(mL)) ?

(mug)/(mL)

A certain food has a gluten ratio of $13 \mathrm{mg}$ of gluten per $\mathrm{L}$ of the food. $\newline$ What is the gluten ratio in micrograms per milliliter $\left(\frac{\mu \mathrm{g}}{\mathrm{mL}}\right)$ ? $\newline$ $\square$ $\frac{\mu \mathrm{g}}{\mathrm{mL}}$

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Convert rates and measurements: customary units

Full solution

Q. A certain food has a gluten ratio of

13 \mathrm{mg}

of gluten per

\mathrm{L}

of the food.

\newline

What is the gluten ratio in micrograms per milliliter

\left(\frac{\mu \mathrm{g}}{\mathrm{mL}}\right)

?

\newline

\square

\frac{\mu \mathrm{g}}{\mathrm{mL}}

Convert to micrograms: Convert milligrams (mg) to micrograms (μg). There are $1000$ micrograms in a milligram. $\newline$ $13 \, \text{mg} \times 1000 \, \mu\text{g}/\text{mg} = 13000 \, \mu\text{g}$
Convert to milliliters: Convert liters ( $L$ ) to milliliters ( $mL$ ). There are $1000$ milliliters in a liter. $\newline$ $1 L \times 1000 mL/L = 1000 mL$
Calculate gluten ratio: Calculate the gluten ratio in micrograms per milliliter ( $\frac{\mu \mathrm{g}}{\mathrm{mL}}$ ) using the conversions from the previous steps. $\newline$ $\frac{13000 \mu\text{g}}{1000 \text{mL}} = 13 \frac{\mu \mathrm{g}}{\mathrm{mL}}$

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