Understanding Fractions in Algebra

What is a fraction?

• A subtraction problem

• A multiplication problem

• A part of a whole

• A whole number

What must be true to add or subtract fractions?

• They must be mixed numbers

• They must have a common denominator

• They must be improper fractions

• They must have the same numerator

How do you multiply fractions?

• Add the numerators and denominators

• Multiply the numerators and add the denominators

• Multiply the numerators and denominators

• Divide the numerators and multiply the denominators

What is the first step in dividing fractions?

• Multiply the numerators only

• Subtract the fractions

• Flip the divisor and multiply

• Add the fractions

What is cross-cancelling?

• Simplifying fractions by cancelling common factors

• Dividing fractions by flipping the numerator

• Adding fractions with different denominators

• Multiplying fractions without changing the order

Why is cross-cancelling important?

• It helps in adding fractions

• It simplifies calculations in algebra

• It is used only in geometry

• It is not important in calculus

What is a mixed number?

• A fraction with a common denominator

• A sum of a whole number and a fraction

• A fraction with a numerator larger than the denominator

• A fraction with a common numerator

How do you convert a mixed number to an improper fraction?

• Subtract the numerator from the whole number

• Multiply the whole number by the denominator and add the numerator

• Divide the whole number by the denominator

• Add the whole number to the numerator

What is the result of converting 3 2/3 to an improper fraction?

• 9/3

• 11/3

• 5/3

• 7/3

In the practice problem, what is the final result of 2 1/2 * 5 1/3?

• 50/3

• 30/3

• 40/3

• 20/3