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 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

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fractional part.

Front

What is a mixed number?

Back

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

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 18/10?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, 18/10 simplifies to 9/5 or 1 4/5.

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.

Front

How do you find the GCD of two numbers?

Back

List the factors of each number and find the largest factor they have in common.

Front

What is the simplified form of 49/63?

Back

The GCD of 49 and 63 is 7. So, 49/63 simplifies to 7/9.

Front

What is a proper fraction?

Back

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