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 11

A bag contains 3/7 red balls and 2/7 blue balls. What fraction of the balls are neither red nor blue?

A piece of ribbon is 7/8 meters long. If you cut off 1/3 of it, how much ribbon remains?

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

Describe the steps to multiply two mixed numbers.

Divide (9/16) by (3/8).

Explain the process of converting a repeating decimal such as 0.727272... into a fraction.

Explain why dividing by a fraction is the same as multiplying by its reciprocal.

Express 2 3/5 as an improper fraction.

If (a/b) = (c/d), what can you say about the cross products ad and bc?

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

If a recipe requires 2/3 cup of sugar and you want to make half the recipe, how much sugar do you need?

If a student scored 18 out of 24 marks in a test, what fraction of marks did the student get? Express in simplest form.

If x = 2/7 and y = 3/5, find the value of x + y.

Simplify the expression: (3/4) + (5/6).

Simplify: (4/9) + (5/18) - (1/6).

Simplify: (5/12) ÷ (2/3).

Subtract (2/5) from (7/10).

A container is filled with three liquids: 1/4 is oil, 1/3 is water, and the rest is alcohol. What fraction of the container is filled with alcohol?

A recipe calls for 2 1/2 cups of flour. If you want to make 60% of the recipe, how many cups of flour do you need? Express your answer as a fraction in simplest form.

Explain how to convert a complex fraction such as (3/4) / (5/8) into a simple fraction and simplify your answer.