Understanding Fraction Simplification and Common Errors

What is the correct answer to the problem 2 * 3 over 2 + 3?

• 1

• 2

• 3

• 1.2

Why do people often mistakenly think the answer to 2 * 3 over 2 + 3 is 1?

• They believe the numbers are added.

• They think the numbers are factors and can be canceled.

• They multiply all numbers together.

• They divide the numbers incorrectly.

In the fraction 12 over 16, which numbers are considered like factors?

• 4 and 4

• 4 and 3

• 3 and 4

• 12 and 16

What is the reduced form of the fraction 12 over 16?

• 3/4

• 1/2

• 4/3

• 2/3

Why can't you cancel the numbers in the expression 2 + 10 over 2?

• Because they are multiplied.

• Because they are equal.

• Because they are not factors.

• Because they are already simplified.

What is the correct result of 2 + 10 over 2?

• 12

• 10

• 6

• 5

In the expression x + y over x, why is it incorrect to cancel the x's?

• Because x is already simplified.

• Because y is not a factor.

• Because x is not in the denominator.

• Because x and y are not factors.

What is the correct simplification of x * y over x?

• x/y

• x

• y

• 1

What is a common mistake when simplifying algebraic fractions?

• Adding terms instead of multiplying.

• Canceling terms that are not factors.

• Ignoring the denominator.

• Multiplying terms incorrectly.

What should you look for when simplifying fractions?

• Different numbers in the numerator and denominator.

• Like factors in the numerator and denominator.

• Like terms in the numerator and denominator.

• Equal numbers in the numerator and denominator.