Fractions and Their Operations

Math ⇒ Number and Operations

Fractions and Their Operations starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Fractions and Their Operations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

A recipe requires 3/4 cup of sugar. If you want to make half the recipe, how much sugar do you need?

A sum of money is divided among three people in the ratio 2:3:5. What fraction of the total does the second person receive?

A tank is 3/5 full. If 1/4 of the water is removed, what fraction of the tank is now full?

Describe how to compare two fractions with different denominators.

Describe the difference between a proper fraction and an improper fraction.

Explain the process of converting a mixed number to an improper fraction.

Explain why dividing by a fraction is equivalent to multiplying by its reciprocal.

Express 2 3/5 as an improper fraction.

If 2/5 of a number is 16, what is the number?

If a student scores 18 out of 24 marks in a test, express the score as a fraction in simplest form.

If a/b = 3/4 and b/c = 2/5, what is a/c?

If x = 2/3 and y = 4/5, compute the value of x × y.

Multiply: (5/12) × (3/8) and simplify.

Simplify the following expression and write your answer as a single fraction in lowest terms: (3/4) + (5/6) - (1/3).

Simplify: (2/5) ÷ (4/7).

Simplify: (7/9) × (3/14) ÷ (1/6).

Subtract (7/9) from (5/6) and simplify your answer.

A mixture contains 2/5 alcohol and the rest water. If 1/4 of the mixture is removed and replaced with pure alcohol, what is the new fraction of alcohol in the mixture?

Given the equation (a/b) + (b/a) = 13/6, where a and b are positive integers and a > b, find the values of a and b.

If the sum of three consecutive positive integers is divided by their product, the result is expressed as a fraction. For which set of three consecutive positive integers is this fraction in its lowest terms?