fraction

1/n + 3/5 = 1 Subtract 3/5 from each side where 1 = 5/5 1/n + 3/5 - 3/5 = 5/5 - 3/5 1/n = 2/5 Cross multiply: 5 * 1 = 2 * n 2n = 5 Divide each side by 2: n = 5/2 or 2.5

1/n + 2/n + 3/n + 4/n = 1 10/n = 1 Cross multiply: n * 1 = 10 n = 10

1/n + 2/n + 3/n = 1 6/n = 1 Cross multiply: n * 1 = 6 n = 6

n = 3n - 1/2 Solve for n in the equation n = 3n - 1/2 Step 1: Group variables: We need to group our variables n and 3n. To do that, we subtract 3n from both sides n - 3n = 3n - 0.5 - 3n Step 2: Cancel 3n on the right side: -2n = -0.5 Step 3: Divide each side of the equation by -2 -2n/-2 =...

Sara earns $6000 more than 1/3 of Claudia's yearly salary. If Claudia's salary is n, what is Sara's salary? 1/3 Claudia's salary: n/3 6000 more means we add: n/3 + 6000

If sound travels 1/5 of a mile in one second, how many miles does it travel in 1/5 of a second? 1/5 mile / second * 1/5 second = 1/25 of a mile

Jon earned money baby-sitting. He spent 1/4 of the money on a guitar and then he gave 1/4 of what was left to charity. If he has $108 left, how much money did he start with? Calculate initial spend: Charity = 1/4 * 3/4 left = 3/16 1/4 + 3/16 = 7/16 This means he has 1 = 7/16 left 16/16 - 7/16 =...

A board must be cut into three pieces that are the same length. If it takes five minutes for each cut, how long will it take to saw the board into three pieces that are the same size? Three equal pieces means only 2 cuts on the board: 2 cuts * 5 minutes per cut = 10 minutes

The sound from a thunderstorm travels approximately 1/5 of a mile in one second. How far will the sound travel in 18.6 seconds? 1/5 mile per second * 18.6 seconds = 3.72 miles

If it takes 6 hours to paint 5/7 of a truck, how long will it take to paint the whole truck? 6 hours / 5/7 = 42/5 hours or 8 & 2/5 hours

If Juan spent $1.28 for ground beef that cost $1.92 per pound, how much ground beef did Juan buy? Calculate unit rate: $1.28 / $1.92 per pound = 2/3 pound or 0.6667 pounds

How many 2/4 pound pieces can be cut from a giant 1200 pound thumbnail? Using a fraction: 1200 pounds of meatball / 3/4 pound pieces = 1,600 pieces Using a decimal 0.75 for 3/4: 1200 pounds of meatball / 0.75 pound pieces = 1600 pieces

Kartek bought 86 pizzas for a school party. If there are 516 people at his school, how much pizza should each person get? Setup unit slices: 86 pizzas / 516 people = 1/6 pizza per person

Eight workers dug 3/8 of a tunnel in 10 days. If they need to finish the remaining 5/8 of the tunnel in 3 & 1/3 days, how many more workers must they hire? Eight workers * 10 days = 80 days for one worker If 3/8 of a tunnel took 80 days for one worker, then each 1/8 of a tunnel takes a single...

Anna paints a fence in 4 hours wile her brother paints it in 5 hours. If they work together, how long will it take them to paint the fence? Set up unit rates per hour: Anna paints 1/4 of a fence per hour Brother paints 1/5 of a fence per hour Combined, they paint 1/4 + 1/5 = 9/20 of a fence...

A construction crew must build a road in 10 months or they will be penalized $500,000. It took 10 workers 6 months to build half of the road. How many additional workers must be added to finish the road in the remaining 4 months? Calculate unit rate per one worker: 10 workers * 6 months = 60...

Brandon can shovel his sidewalk in 8 minutes, while his brother can shovel the walk in 12 minutes. If they work together, how long will it take them to shovel the sidewalk? Set up unit rates: Brandon can shovel 1/8 of a sidewalk per minute His brother can shovel 1/12 of a sidewalk per minute...

It takes 3 city snowplows 14 hours to clear 500 miles of road. If the city wants the 500 miles of road to be cleared in 6 hours, how many additional snowplows must they buy? Set up unit rate per plow: 14 hours * 3 plows = 42 hours for one plow to clear 500 miles of road Calculate the amount of...

When the drain is closed, a swimming pool can be filled in 4 hours. When the drain is opened, it takes 5 hours to empty the pool. The pool is being filled, but the drain was accidentally left open. How long until the pool is completely filled? Set up unit fill rates per hour: 1/4 of the pool...

When the water is turned on, a bathtub will be filled in 12 minutes. When the drain is opened it takes 20 minutes for the tub to drain. If the water is turned on and the drain is left open, how long until the tub is filled? In one hour, the faucet will fill 5 tubs since 12 * 5 = 60 minutes. In...