Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

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 10/24?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, 10/24 = 5/12.

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 over the original denominator is the fractional part.

Front

Convert the improper fraction 12/5 to a mixed number.

Back

12 divided by 5 is 2 with a remainder of 2, so it becomes 2 2/5.

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

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

How do you find the GCD of 10 and 24?

Back

List the factors of each number: Factors of 10 are 1, 2, 5, 10; Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The GCD is 2.

Front

What is the simplest form of the fraction 6/8?

Back

Divide both the numerator and denominator by their GCD, which is 2. So, 6/8 = 3/4.