Question

write the fraction or mixed number as a percent.

1. \\(\frac{3}{4}\\)
2. \\(\frac{23}{40}\\)
3. \\(\frac{53}{200}\\)
4. \\(8\frac{9}{25}\\)
5. you answered 85% of the questions on the quiz correctly. what fraction of the questions did you answer correctly?

Explanation:

Problem 7: $\boldsymbol{\frac{3}{4}}$ as a percent

Step1: Convert fraction to decimal

To convert $\frac{3}{4}$ to a decimal, divide 3 by 4.
$\frac{3}{4} = 3 \div 4 = 0.75$

Step2: Convert decimal to percent

Multiply the decimal by 100 and add the percent sign.
$0.75 \times 100 = 75\%$

Problem 8: $\boldsymbol{\frac{23}{40}}$ as a percent

Step1: Convert fraction to decimal

Divide 23 by 40.
$\frac{23}{40} = 23 \div 40 = 0.575$

Step2: Convert decimal to percent

Multiply by 100 and add the percent sign.
$0.575 \times 100 = 57.5\%$

Problem 9: $\boldsymbol{\frac{53}{200}}$ as a percent

Step1: Convert fraction to decimal

Divide 53 by 200.
$\frac{53}{200} = 53 \div 200 = 0.265$

Step2: Convert decimal to percent

Multiply by 100 and add the percent sign.
$0.265 \times 100 = 26.5\%$

Problem 10: $\boldsymbol{8\frac{9}{25}}$ as a percent

Answer:

Step1: Convert percent to fraction

85% means 85 per 100, so as a fraction, it is $\frac{85}{100}$.

Step2: Simplify the fraction

Divide numerator and denominator by their greatest common divisor (GCD), which is 5.
$\frac{85 \div 5}{100 \div 5} = \frac{17}{20}$

Final Answers:

1. $\boldsymbol{75\%}$
2. $\boldsymbol{57.5\%}$
3. $\boldsymbol{26.5\%}$
4. $\boldsymbol{836\%}$
5. $\boldsymbol{\frac{17}{20}}$