Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 9/18?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 9. So, 9 ÷ 9 = 1 and 18 ÷ 9 = 2, resulting in 1/2.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

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 9/4.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the lowest terms of the fraction 6/24?

Back

The lowest terms of 6/24 is 1/4, as both the numerator and denominator can be divided by 6.

Front

What does it mean for a fraction to be in lowest terms?

Back

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1.