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```latex
\text{Convert the given milligrams to grains.}

[tex]\[
\text{grains} = \frac{1 \text{ grain}}{60 \text{ milligrams}} \times 1,300 \text{ milligrams}
\][/tex]

Cancel the like units and then solve the equation.

[tex]\[
\begin{aligned}
\text{grains} &= \frac{1 \text{ grain}}{60 \text{ milligrams}} \times 1,300 \text{ milligrams} \\
&= \frac{1,300}{60} \text{ grains} \\
&= \text{grains } \square \quad \text{Reduce the fraction.}
\end{aligned}
\][/tex]

\text{(Type an integer, fraction, or mixed number.)}
```

Sagot :

GinnyAnswer
Alright, let's work through the problem step by step. We're trying to determine how many grains there are given a total mass and the mass per grain.

Step 1: Set up the equation.

We are given:
- Total mass of grains: [tex]\(1300\)[/tex] milligrams
- Mass per grain: [tex]\(60\)[/tex] milligrams

We need to find the number of grains, which can be represented by the given formula:
[tex]\[ \text{number of grains} = \frac{\text{total mass of grains}}{\text{mass per grain}} \][/tex]

Step 2: Input the given values into the equation.

[tex]\[ \text{number of grains} = \frac{1300 \text{ milligrams}}{60 \text{ milligrams/grain}} \][/tex]

Step 3: Cancel out the like units (milligrams in this case):

[tex]\[ \text{number of grains} = \frac{1300}{60} \][/tex]

Step 4: Perform the division.

[tex]\[ \frac{1300}{60} = 21.666666666... = 21 \frac{2}{3} \][/tex]

Thus, the number of grains is [tex]\(21 \frac{2}{3}\)[/tex] or as an improper fraction: [tex]\(\frac{65}{3}\)[/tex].

So, the final answer in decimal form is approximately [tex]\(21.67\)[/tex].
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