Question

④ convert each percent into fraction.
a. 37.17% =
b. 805.11% =
c. 6394.37% =
d. 0.09% =
⑤ convert each percent into decimal.
a. 11.33% =
b. $77\frac{1}{3}$% =
c. $90\frac{1}{2}$% =
d. 80.3% =
⑥ convert each decimal into percent.
a. 0.37 =
b. 0.22 =
c. 0.99 =
d. 0.01 =

Explanation:

Problem ④ (Convert percent to fraction)

Part a: \( 37.17\% \)

Step1: Recall percent to fraction rule

To convert a percent to a fraction, we write the percent value over 100. So \( 37.17\%=\frac{37.17}{100} \).

Step2: Remove decimal

Since there are two decimal places, multiply numerator and denominator by 100: \( \frac{37.17\times100}{100\times100}=\frac{3717}{10000} \).

Step1: Percent to fraction

\( 805.11\% = \frac{805.11}{100} \).

Step2: Remove decimal

Multiply numerator and denominator by 100: \( \frac{805.11\times100}{100\times100}=\frac{80511}{10000} \).

Step1: Percent to fraction

\( 6394.37\%=\frac{6394.37}{100} \).

Step2: Remove decimal

Multiply numerator and denominator by 100: \( \frac{6394.37\times100}{100\times100}=\frac{639437}{10000} \).

Answer:

\( \frac{3717}{10000} \)

Part b: \( 805.11\% \)