Question

question 2 of 6
a patient received the following dosages of a medication. write the dosages from largest to smallest. $\frac{3}{8}$ gram, $\frac{3}{4}$ gram, and $\frac{7}{16}$ gram

Explanation:

Step1: Find a common denominator

The denominators are 8, 4, and 16. The least - common denominator (LCD) of 8, 4, and 16 is 16.

Step2: Rewrite the fractions with the common denominator

$\frac{3}{8}=\frac{3\times2}{8\times2}=\frac{6}{16}$; $\frac{3}{4}=\frac{3\times4}{4\times4}=\frac{12}{16}$; $\frac{7}{16}$ remains as $\frac{7}{16}$.

Step3: Compare the numerators

Since $12>7 > 6$, then $\frac{3}{4}>\frac{7}{16}>\frac{3}{8}$.

Answer:

$\frac{3}{4}$ gram, $\frac{7}{16}$ gram, $\frac{3}{8}$ gram