A fraction consists of a numerator and a denominator. In the fraction 3/8, what do the numerator and denominator represent?

The numerator (3) represents the number of equal parts being considered, while the denominator (8) represents the total number of equal parts into which the whole is divided.

What is the definition of a proper fraction?

A proper fraction is defined as a fraction where the numerator is less than the denominator, indicating that its value is less than 1.

Fill in the blank: An improper fraction is a fraction where the numerator is ___ than or equal to the denominator.

Greater

True or False: A mixed number cannot be converted into an improper fraction.

False. A mixed number can be converted into an improper fraction.

If you have a unit fraction, what can you say about its numerator and denominator?

In a unit fraction, the numerator is always 1, and the denominator is greater than 1.

What distinguishes like fractions from unlike fractions?

Like fractions have the same denominator, while unlike fractions have different denominators.

Fill in the blanks: The fraction 1/4 represents ___ of a whole when divided into ___ equal parts.

One part; four

In a number line representation, how would you show the fraction 2/5?

First, divide the segment from 0 to 1 into 5 equal parts, then mark the point corresponding to 2 parts, which represents the fraction 2/5.

What is the relationship between proper fractions and the value of one?

All proper fractions have values that are less than 1.

Write 7 divided by 5 as a mixed number.

7 divided by 5 equals 1 and 2/5.

What is the process to convert a mixed number to an improper fraction?

Multiply the whole number part by the denominator and add the numerator to the product.

Equivalent fractions are fractions that represent the ______ part of the whole.

Same

True or False: 1/2 is equivalent to 2/4.

True

Fill in the blank: To find equivalent fractions, we either multiply or divide the numerator and denominator by the same ___.

Number

Write the improper fraction for 3 and 1/4.

3 and 1/4 equals 13/4.

What is the result of multiplying the fraction 3/5 by 2?

The result is 6/5 or 1 and 1/5.

True or False: 4/6 is equivalent to 2/3.

True

A fraction is in its simplest form when its numerator and denominator have no common factors other than ___.

1

True or False: The fraction 10/15 is in its simplest form.

False, because 5 is a common factor of 10 and 15.

Fill in the blank: The simplest form of 15/30 is ___.

1/2

What is the first step to express the fraction 6/8 in its simplest form?

Divide both the numerator and denominator by a common factor, which is 2.

True or False: The fraction 3/21 can be simplified to 1/7.

True, because both 3 and 21 can be divided by 3.