What is the least common denominator (LCD) of the fractions 2/3 and 1/4?

The least common denominator (LCD) of 2/3 and 1/4 is 12.

When adding mixed numbers, what must the fractions have in order to be added directly?

The fractions must have the same denominator, known as like denominators.

Fill in the blank: To convert the mixed number 2 ½ to an improper fraction, you multiply ___ by ___ and add ___, then write the result over the original denominator.

2, 2, 1

True or False: You can subtract mixed numbers directly without finding a common denominator.

False. You must find a common denominator before subtracting mixed numbers.

What is 3 ½ + 2 ⅓ in simplest form?

3 ½ + 2 ⅓ = 5 ⅔.

How do you simplify the fraction 12/16?

You simplify 12/16 by dividing both the numerator and denominator by 4, resulting in 3/4.

Fill in the blank: When subtracting 5 ⅞ - 2 ⅜, the whole number part of the answer is ___.

3

What is the sum of the mixed numbers 1 ¾ and 2 ⅖?

The sum of 1 ¾ and 2 ⅖ is 4 3/20.

True or False: To add mixed numbers with unlike denominators, you must first convert them to like denominators.

True.

Fill in the blank: To convert 3 ¼ to an improper fraction, you would calculate ___ × ___ + ___ over ___ to get your answer.

3, 4, 1, 4

What do you do if the fraction you need to subtract is larger than the fraction you have?

You must regroup or borrow one whole from the whole number part.

If you have 6 ¼ and cut off 2 ⅔, what is the remaining length?

The remaining length is 3 7/12.

True or False: The numerator of a fraction tells how many equal parts make one whole.

False. The denominator tells how many equal parts make one whole; the numerator tells how many parts we have.

What is the process to find the least common denominator of 1/2 and 1/3?

The least common denominator is 6, as it is the smallest number both denominators divide into evenly.

Fill in the blank: To simplify the fraction 10/8, you would divide both the numerator and denominator by ___.

2

What is the result of adding 2 ⅖ and 1 ½ using improper fractions?

The result is 4 1/6.

How do you write the improper fraction 25/6 back as a mixed number?

You divide 25 by 6 to get 4 with a remainder of 1, which gives the mixed number 4 1/6.