# Fractions + prime numbers - practice problems

#### Number of problems found: 20

- Simplest form 3

What fraction is 15 of 35 in simplest form? - What fraction

What fraction of number 1 to 30 is prime? - 6/24 change

6/24 change to a fraction in lowest terms - Jordan

Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy no more than 6 cookie cakes and Jordan must share the cakes equally between his classmates (and himself). Answer the questions to help Jordan - Prime divisors

Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120. - Ratio

Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order. - Profitable company

Three businessman decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000 and R25 000, respectively. The profit made by the company in the first y - Two gears

A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ] - Reminder and quotient

There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1, - Reminder and quotient

There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1. - LCD two fractions

What is the least common denominator of 11/15 and 12/19? - Oranges

Mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there? - LCD 2

The least common denominator of 2/5, 1/2, and 3/4 - Ornamental shrubs

Children committed to planting 240 ornamental shrubs. Their commitment, however, exceeded by 48 shrubs. Write the ratio of actually planted shrubs and commitment by lowest possible integers a/b. - Meadow

On the meadow grazing horses, cows, and sheep, together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equally. How many horses, cows, and sheep are on the meadow toget - The balls

You have 108 red and 180 green balls. You have to be grouped into the bags so that the ratio of red to green in each bag was the same. What smallest number of balls may be in one bag? - TV commercials

For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour. - Fractions

Sort fractions z_{1}= (6)/(11); z_{2}= (10)/(21); z_{3}= (19)/(22) by its size. Result write as three serial numbers 1,2,3. - Diophantus

We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth las - Numbers

Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?

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