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HSPT Math : How to do other word problems

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Example Question #561 : Hspt Mathematics

How many whole numbers are between $\dpi{100} \frac{16}{5}$ $\displaystyle \dpi{100} \frac{16}{5}$ and $\dpi{100} \frac{50}{7}$ $\displaystyle \dpi{100} \frac{50}{7}$?

Possible Answers:

$\dpi{100} 4$ $\displaystyle \dpi{100} 4$

$\dpi{100} 3$ $\displaystyle \dpi{100} 3$

$\dpi{100} 6$ $\displaystyle \dpi{100} 6$

$\dpi{100} 2$ $\displaystyle \dpi{100} 2$

Correct answer:

$\dpi{100} 4$ $\displaystyle \dpi{100} 4$

Explanation:

Convert each fraction to a mixed number.

$\dpi{100} \frac{16}{5}=3\frac{1}{5}$ $\displaystyle \dpi{100} \frac{16}{5}=3\frac{1}{5}$

$\dpi{100} \frac{50}{7}=7\frac{1}{7}$ $\displaystyle \dpi{100} \frac{50}{7}=7\frac{1}{7}$

So how many whole numbers are between $\dpi{100} 3\frac{1}{5}$ $\displaystyle \dpi{100} 3\frac{1}{5}$ and $\dpi{100} 7\frac{1}{7}$ $\displaystyle \dpi{100} 7\frac{1}{7}$?

4, 5, 6, and 7 would fall between these two numbers. 3 would not. So there are 4 total whole numbers between them.

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HSPT Math : How to do other word problems

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Example Question #561 : Hspt Mathematics

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