Ratios, Proportions, and Percents

In the realm of mathematics, Ratios, Proportions, and Percents are vital concepts used for comparing quantities, equating two ratios, and expressing ratios in relation to 100 respectively. They serve as pivotal tools for comprehending the relationships amongst numbers and analyzing data. These basic mathematical principles are not just confined to theoretical applications but find their relevance in practical situations such as culinary measurements, determining discounts during shopping, and figuring out academic grades.

Converting Ratios to Fractions

Convert the ratio 8:12 into a fraction.

Converting Percents to Decimal

Express the given fraction as a decimal and as a percentage. \[ \frac{1}{3} \] What is the decimal form of $\frac{1}{3}$ ? (Round to four decimal places as needed)

Converting Percents to Fractions

6. Write this percent as a fraction in lowest form: $48 \%$. If the answer is an improper fraction, change it to a mixed fraction. $\frac{48}{100}$ $\frac{24}{50}$ $2 \frac{1}{12}$ $\frac{12}{25}$

Converting the Percent Grade to Degree

A road has a percent grade of 15%. Please convert this percent grade to degrees.

Converting the Degree to Percent Grade

If a road has a 10 degree incline, what is the percent grade of the road?