Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 3/5.

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 that over the original denominator. For example, 2 3/5 = (2*5 + 3)/5 = 13/5.

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 13/5.

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. For example, 36/4 = 9.

Front

What does it mean to reduce a fraction?

Back

To reduce a fraction means to simplify it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides both the numerator and denominator without leaving a remainder.

Front

How do you compare two fractions?

Back

To compare two fractions, find a common denominator or convert them to decimals. Then, you can see which is larger or if they are equal.

Front

What does the symbol '>' mean when comparing fractions?

Back

The symbol '>' means 'greater than'. For example, if 3/4 > 1/2, then 3/4 is larger than 1/2.

Front

What does the symbol '<' mean when comparing fractions?

Back

The symbol '<' means 'less than'. For example, if 1/3 < 1/2, then 1/3 is smaller than 1/2.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to compare or add them.