Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

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 find the greatest common factor (GCF) of two numbers?

Back

The GCF is the largest number that divides both numbers without leaving a remainder. You can find it by listing the factors or using the prime factorization method.

Front

Simplify the fraction 12/40.

Back

3/10

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder over the original denominator becomes the fractional part.

Front

Convert the improper fraction 16/3 to a mixed number.

Back

5 1/3

Front

What is a mixed number?

Back

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

Front

Simplify the fraction 9/15.

Back

3/5

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator.