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 4:5 into a fraction.

Converting Percents to Decimal

7. A salesperson at an electronics store received a commission of $\$ 180$ for the day. If the salesperson sold $\$ 1,650$ worth of merchandise, what percent of commission is the salesperson paid? Round the answer to the nearest tenth of a percent. $7.9 \%$ $0.9 \%$ $10.9 \%$ $9.1 \%$

Converting Percents to Fractions

15. Write this ratio as a percent by using a proportion and then find the percent which is equivalent to the given ratio: 112 out of 160 . $89 \%$ $62.5 \%$ $70 \%$ $60 \%$

Converting the Percent Grade to Degree

A road has a grade of 12%. What is the angle of this grade in degrees?

Converting the Percent Grade to Slope

A road has a grade of 6%. What is the slope of this road?

Converting the Degree to Percent Grade

If a road has a 12% grade, what is the equivalent grade in degrees?

Converting the Slope to Percent Grade

A road has a rise of 6 feet for every horizontal run of 80 feet. What is the slope of the road in percent grade?