Division practice problems
Division is the arithmetic operation of splitting a quantity into equal parts or determining how many times one number is contained in another. It is the inverse operation of multiplication, with the dividend being split by the divisor to produce a quotient and possibly a remainder. Division by zero is undefined in standard arithmetic. The operation can be expressed as a fraction, ratio, or using the division symbol (÷ or /). Long division provides a systematic algorithm for dividing larger numbers. Understanding division is crucial for fractions, ratios, rates, and proportional reasoning in mathematics and daily life.Number of problems found: 1981
- Soccer team trip
Members of a soccer team raised $1,210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. Using an equation or tape diagram, find the number of players the team can bring to the tournament. - Recipical fraction
Calculate 5/9 divided by 8/5. Also state the reciprocal of the result. - Sauce in the bowl
I cook 8 cups of pasta, then divide it equally among 5 bowls, and pour 1 1/4 cups of sauce into each bowl. How many cups of pasta and sauce are in each bowl in total? - Trail mix
You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make, if each batch requires 2 3/4 cups of granola and 1 1/3 cups of peanuts? - Cleaners 3
Cleaners use 2/3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week? Simplify your answer and write it as a proper fraction, mixed number, or whole number. - Equivalent - reciprocal
Which of these expressions is equivalent to 2/3 × 3 1/4? Select all that apply. Answers: 2 1/6 ÷ 3 1/4; 2 1/6 ÷ 2/3; 2/3 ÷ 2 1/6 - Length units
How many times does one and a half inches go into 12 feet? - Three in a ratio
If A is 40% more than B, and B is 20% less than C, find the ratio A:C. - A road 2
A road crew must repave a road that is 4/5 miles long. They can repave 1/20 miles per hour. How long will it take the crew to repave the road? Write your answer in simplest form. - A person 3
A person distributes his pens among four friends A, B, C, and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens the person should have? - Salaries - ratio3
The salaries of A, B, and C are in the ratio 2:3:5. If their salaries are increased by 15%, 10%, and 20% respectively, what will be the new ratio of their salaries? - Fabric - Jose
Jose had 1 5/7 yards of fabric and used 24/59 of a yard for a project. What fraction of the fabric did he use? - Division with a remainder
Find the smallest number which, when divided by 8, 12, and 20, leaves a remainder of 5 in each case. - Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share? - Collecting money
Rs 180 is contained in a box in one-rupee, 50-paise, and 25-paise coins in the ratio 2:3:4. What is the number of 50-paise coins? (One rupee = 100 paise) - Apples 32
A woman sold half of her apples to the 1st customer, half of the remainder to the 2nd customer, half of what remained to the 3rd customer, and again half of the remainder to the 4th customer. She was then left with 15 apples. What was the total number of - Adela
Adela saves part of her allowance every month. She can save about 25 pesos per month. Her target is to save 1,350 pesos for a pair of shoes. If she starts saving in June, can she buy the shoes by December? - Fund raising
A number of people decided to raise 3 million euros by contributing equal amounts. Had each person contributed 50 euros extra, the total contribution would have been 3.25 million euros. How many people are there? - Divide by mixed number
Solve and write the answer in simplest form. 1/6 ÷ 1 2/3 - The remainder 3
The remainder is 31 when dividing a number by 45. What would the remainder be if the same number were divided by 15?
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