Understanding Least Common Denominator

What is the main issue with creating a common denominator by multiplying each denominator by the other fraction's denominator?

• It always results in a prime number.

• It can create an unnecessarily large denominator.

• It makes the fractions impossible to add.

• It changes the value of the fractions.

What is the key method used to find the least common denominator?

• Multiplying the fractions

• Subtracting the denominators

• Prime factorization

• Adding the numerators

In the example of adding one-sixth and one-thirtieth, what factor is missing in the first denominator?

• Two

• Three

• Five

• Seven

When adding one-sixth and one-eighteenth, what factor is added to the first fraction to achieve a common denominator?

• Seven

• Five

• Three

• Two

What is the least common denominator for the fractions one-thirtieth and one-forty-second?

• Two-hundred-ten

• Eighteen

• Forty-two

• Thirty

What is the result of using the least common denominator for seven-twelfths plus five-eighteenths?

• One-hundred-eighty-six two-hundred-sixteenths

• Thirty-one thirty-sixths

• Seven-twelfths

• Five-eighteenths

What is the advantage of using the least common denominator over multiplying the denominators directly?

• It simplifies the calculation.

• It results in a larger denominator.

• It changes the value of the fractions.

• It makes the fractions harder to add.

In the example of adding three-eighths, one-sixth, and subtracting five-twelfths, what is the least common denominator?

• Twenty-four

• Thirty-six

• Forty-two

• Eighteen

What additional factor is needed for the first denominator in the example of adding three-eighths, one-sixth, and subtracting five-twelfths?

• Two

• Three

• Five

• Seven

What is the final result of adding three-eighths, one-sixth, and subtracting five-twelfths?

• Seven twenty-fourths

• Five twenty-fourths

• One twenty-fourth

• Three twenty-fourths