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 6/10?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, 6/10 = 3/5.

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 7/4.

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 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

How do you find the fraction of a part of a whole?

Back

Divide the part by the whole. For example, if there are 10 GX cards out of 24 total cards, the fraction is 10/24.

Front

Simplify the fraction 10/24.

Back

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

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.