Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 6/15?

Back

To simplify 6/15, divide both the numerator and denominator by their greatest common divisor, which is 3. This results in 2/5.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.

Front

How can you find an equivalent fraction?

Back

To find an equivalent fraction, multiply or divide both the numerator and denominator of the original fraction by the same non-zero integer.

Front

What is the simplest form of the fraction 15/20?

Back

The simplest form of 15/20 is 3/4, obtained by dividing both the numerator and denominator by their GCD, which is 5.

Front

What is the process of reducing a fraction?

Back

Reducing a fraction involves dividing the numerator and denominator by their greatest common divisor to simplify it.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator.

Front

What is a mixed number?

Back

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