Worst Algebra Mistakes Students Make With Fractions

The video addresses common mistakes students make with fractions, regardless of their math level. It covers errors such as separating denominators incorrectly, misusing the division property, adding fractions without common denominators, and misapplying cross multiplication. The video also explains the correct approach to dividing complex fractions and handling variables in denominators. By using examples and emphasizing the importance of understanding the underlying concepts, the video aims to help students avoid these mistakes in the future.

What mistake do students often make when dealing with denominators separated by addition?

• They incorrectly separate the terms into two fractions.

• They ignore the terms in the denominator.

• They correctly add the terms in the denominator.

• They multiply the terms in the denominator.

Why is it incorrect to cancel terms in a fraction when the denominator is a binomial?

• Because the terms are already simplified.

• Because the terms are separated by addition or subtraction.

• Because the terms are not like terms.

• Because the terms are in the numerator.

What is the correct method for adding fractions with different denominators?

• Subtract the smaller denominator from the larger one.

• Add the numerators and denominators directly.

• Find a common denominator and then add the numerators.

• Multiply the numerators and add the denominators.

What is a common mistake students make when multiplying fractions?

• They divide the fractions instead of multiplying.

• They add the fractions instead of multiplying.

• They use cross multiplication incorrectly.

• They subtract the fractions instead of multiplying.

How should you handle a complex fraction like a/b/c?

• Divide a by b and then divide the result by c.

• Multiply a by c and divide by b.

• Add a, b, and c together.

• Multiply a by b and then divide by c.

What is the correct approach when you have a variable in the denominator?

• Cancel the variable in the numerator and denominator.

• Add the variable to the numerator.

• Ignore the variable in the denominator.

• Distribute the variable across all terms in the numerator.

What should you remember when multiplying fractions?

• Multiply straight across the numerators and denominators.

• Use cross multiplication for all fractions.

• Add the numerators and multiply the denominators.

• Subtract the smaller fraction from the larger one.