Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator (top number) and the denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 1/4?

Back

The fraction 1/4 is already in its simplest form because 1 and 4 have no common factors other than 1.

Front

How do you simplify the fraction 1/3?

Back

The fraction 1/3 is already in its simplest form because 1 and 3 have no common factors other than 1.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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 becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

Convert the improper fraction 17/5 to a mixed number.

Back

17/5 can be converted to a mixed number by dividing 17 by 5, which gives 3 with a remainder of 2. Thus, it becomes 3 2/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

How do you identify the greatest common factor (GCF) of two numbers?

Back

The GCF of two numbers is the largest number that divides both of them without leaving a remainder. It can be found using prime factorization or the Euclidean algorithm.

Front

What is the relationship between fractions and division?

Back

Fractions represent division; for example, the fraction a/b represents the division of a by b.