6.2E FRACTIONS AS DIVISION

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

How can fractions be expressed as division?

Back

Fractions can be expressed as division by interpreting the numerator as the dividend and the denominator as the divisor. For example, 3/4 can be expressed as 3 ÷ 4.

Front

What does it mean to divide a whole into equal parts?

Back

Dividing a whole into equal parts means splitting it into sections that are the same size. For example, if you divide a pizza into 4 equal slices, each slice is 1/4 of the pizza.

Front

What is the relationship between fractions and division?

Back

Fractions and division are closely related because a fraction can be seen as the result of dividing the numerator by the denominator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 4/8, divide both by 4 to get 1/2.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4 or 3/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2, which means one whole and one half.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted. For example, for 1/4 and 1/6, the common denominator is 12.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.