Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

How do you reduce a fraction?

Back

To reduce a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

Front

What is the prime factorization of 48?

Back

3 x 2 x 2 x 2 x 2.

Front

What is the prime factorization of 32?

Back

2 x 2 x 2 x 2 x 2.

Front

What does it mean for a fraction to be equivalent?

Back

Two fractions are equivalent if they represent the same part of a whole, even if they have different numerators and denominators.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is a mixed number?

Back

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

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 and express the remainder as a fraction.