Reducing Fractions $\frac{14}{35}$

Reducing Fractions $\frac{9}{12}$

Reducing Fractions $\frac{11}{33}$

Which is bigger, $\frac{4}{5}$ or $\frac{5}{7}$?

$\frac{4}{5} + \frac{4}{7}$

$\frac{2}{3}-\frac{1}{4}$

$\frac{4}{5}$x$\frac{3}{8}$

$\frac{9}{10} \div \frac{3}{5}$

In the town of Arkville, a total of 80 people came in to be tested for Lyme disease. Half of them were found to have the disease. Of those who did not have the disease when first tested, one quarter later developed it. What fraction of the original 80 people got Lyme disease?

According to a company survey, $\frac{1}{3}$ of the workers take public transportation to get to work, $\frac{2}{5}$ drive cars to work, and the remainder walk to work. What fraction of the workers walk to work?

Janice sells household products door to door. If she must pay her supplier 60% of the money that she takes in, how much would she keep for herself if she took in $\$1,200$?

A student furnishing his first apartment goes shopping and buys a bed for $\$ 120$ , a sofa for $\$ 635$, and a lamp for $\$ 74$. If the sales tax is 9%, how much did the student pay in total for the furniture?

Carmen owns a computer store and had $\$ 6,750$ in sales this May. The year before, she had $\$ 8,437.50$ in sales in May. If Carmen had a profit of $\$ 5,400$ this May, what percent of her sales were profits?

Sam works 8 hours per day, 6 days a week, delivering flowers. If he earns $5.50 per hour, how much does he make in 4 weeks?

Mr. James goes into an investment with two partners. Together the three of them put a total of $\ $30,000$ into an investment that pays annual interest of 12%. At the end of the year, the three people share the interest evenly. How much did Mr. James receive in interest?

Jim started a business selling mattresses. He sold 12 standard mattresses and 7 deluxe mattresses last week. Which expression below represents how many dollars he took in last week if the standard mattress costs 100 dollars and the deluxe costs 160 dollars?

This year, the price of a particular model of car went up 4% from last year's price of $\$12,000$ . Which of the following represents the new price?

A realtor hires a plumber to make x repairs. The plumber bills the realtor $1,450 in total. Which expression determines the average cost of each repair?

Bryce is the best player on his basketball team. During the first 8 weeks of the season, he scored on 65% of his attempts. For the following 4 weeks, Bryce scored on only 32% of his attempts. During the final 4 weeks of playoffs, Bryce practiced more and scored on 74% of his attempts. If Bryce made the same number of attempts each game, then what percent of his attempts during the entire season did he score?

A map uses a scale in which 1 inch = 200 miles. If the distance between two cities measures 5 inches on the map, how many miles separate the two cities?

If Jane can finish her work assignment in half an hour, what part of it can she finish in 20 minutes?

Flying at 400 miles per hour, approximately how long will it take for a plane to travel between two cities that are 2,600 miles apart?

A football coach makes his players run two laps around the football field to warm up before practice. If the field is 120 yards long and 160 feet wide, how many miles do the players run to warm up? (Hint: There are 3 feet in a yard and 5,280 feet in a mile.)

A rectangle 6 feet wide has a circle with a diameter of 6 feet inscribed within. How high is the rectangle if the areas within the circle and outside the circle are equal?

Britt has a square plot measuring 660 feet on a side, which he wants to irrigate. Long ago, he used fences to divide the plot into four equal-sized square fields. He has two choices. He can tear down the fences and use one long pivot-arm sprinkler that will irrigate a large circle centered at the middle of the plot. Otherwise, he can leave the fences up and irrigate each field separately with smaller pivot sprinklers. What is the difference in irrigated area between the two options?

If Judy wants to fill a rectangular pool with water, approximately how many cubic feet of water will she need if the pool’s dimensions are 10 feet wide by 12 feet long by 5 feet deep?

Chen plans to wallpaper a rectangular room with the dimensions 10 feet by 12 feet by 9 feet high. If there are no windows, and only one door measuring 2 feet by 7 feet, and she does not wallpaper the ceiling or floor, approximately how much will it cost to wallpaper the room?

The area of a regular hexagon can be found with the formula $A=\frac{3 \sqrt{3}}{2} s^{2}$, where s is the length of the side. What is the area of the regular hexagon shown above?

Ahmed is creating a large balloon in the shape of a medical capsule for a drug company’s Employee Day festivities. The balloon is a cylinder 50 feet long and 12 feet in diameter, capped at each end by half spheres 12 feet in diameter. How many cubic feet of gas is needed to fill the balloon?

Reducing Fractions \(\frac{14}{35}\)