Representing Ratios and Percents with Models, Fractions, and Decimals(TEKS.Math.6.4.E)
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Texas 6th Grade Math › Representing Ratios and Percents with Models, Fractions, and Decimals(TEKS.Math.6.4.E)
In a class of 20 students, 8 play soccer. What percent of students play soccer?
$35%$
$60%$
$40%$
$8%$
Explanation
Part-to-whole is $\frac{8}{20}$. Simplify: $\frac{8}{20}=\frac{2}{5}$. Decimal: $2\div 5=0.4$. Percent: $0.4\times 100=40%$. So $40%$ is correct. $60%$ mixes in the non-playing group, and $8%$ confuses the count with a percent.
A fruit bowl has 12 pieces of fruit, and 9 are apples. Which fraction in simplest form represents the part that are apples?
$\frac{3}{4}$
$\frac{4}{3}$
\$0.75$
\$9:12$
Explanation
Part-to-whole is $\frac{9}{12}$. Simplify by dividing by 3: $\frac{9}{12}=\frac{3}{4}$. \$0.75$ is equivalent to $\frac{3}{4}$ but the question asks for a fraction. $\frac{4}{3}$ inverts the ratio, and \$9:12$ is a ratio format, not a fraction in simplest form.
A shirt originally costs 40 dollars and is marked down by 10 dollars. What percent discount is this?
$10%$
$75%$
\$0.5$
$25%$
Explanation
Discount as a fraction of the original price: $\frac{10}{40}=\frac{1}{4}$. Decimal: $\frac{1}{4}=0.25$. Percent: $0.25\times 100=25%$. So the discount is $25%$. \$0.5$ is a decimal (50%), not the percent asked.
A jar has 15 blue marbles and 10 red marbles. What decimal represents the part of the marbles that are blue?
\$0.4$
\$0.6$
$60$
\$15:10$
Explanation
Total marbles: $15+10=25$. Part-to-whole: $\frac{15}{25}=\frac{3}{5}=0.6$. So the decimal is \$0.6$. \$0.4$ would be the red fraction, $60$ lacks the percent sign, and \$15:10$ is part-to-part, not part-to-whole.