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

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

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 10/14?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, 10/14 simplifies to 5/7.

Front

What is the greatest common divisor (GCD)?

Back

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

Front

How do you simplify the fraction 9/45?

Back

Divide both the numerator and denominator by their GCD, which is 9. So, 9/45 simplifies to 1/5.

Front

What is a mixed number?

Back

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

Front

How do you simplify the fraction 15/30?

Back

Divide both the numerator and denominator by their GCD, which is 15. So, 15/30 simplifies to 1/2.

Front

What is a proper fraction?

Back

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