Question

chapter 3
in 15 and 16, rewrite the sentence using a percent instead of the fraction.

1. about $\frac{47}{100}$ of the length of the golden gate bridge is between its two towers.
2. in a class, $\frac{1}{3}$ of the students ride bikes to school.

in 17 and 18, rewrite the number as a percent.

1. $\frac{26}{25}$
2. $2\frac{3}{16}$

Explanation:

Step1: Recall fraction - percent conversion rule

To convert a fraction to a percent, multiply the fraction by 100.

Step2: Solve for problem 15

Since the fraction is $\frac{47}{100}$, multiplying by 100 gives $47\%$. So the sentence becomes: About 47% of the length of the Golden Gate Bridge is between its two towers.

Step3: Solve for problem 16

Multiply $\frac{1}{3}$ by 100: $\frac{1}{3}\times100=\frac{100}{3}= 33.\overline{3}\%$. So the sentence becomes: In a class, 33.$\overline{3}$% of the students ride bikes to school.

Step4: Solve for problem 17

First, simplify $\frac{26}{25}$. Multiply it by 100: $\frac{26}{25}\times100=\frac{26\times100}{25}=26\times4 = 104\%$.

Step5: Solve for problem 18

Convert the mixed - number $2\frac{3}{16}$ to an improper fraction: $2\frac{3}{16}=\frac{2\times16 + 3}{16}=\frac{32+3}{16}=\frac{35}{16}$. Then multiply by 100: $\frac{35}{16}\times100=\frac{3500}{16}=218.75\%$.

Answer:

1. About 47% of the length of the Golden Gate Bridge is between its two towers.
2. In a class, 33.$\overline{3}$% of the students ride bikes to school.
3. 104%
4. 218.75%