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

How do you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The GCD of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

What is the simplified form of 9/6?

Back

3/2, obtained by dividing both the numerator and denominator by their GCD, which is 3.

Front

How do you find the GCD of two numbers?

Back

You can find the GCD using the prime factorization method or the Euclidean algorithm.

Front

What is the simplified form of 12/40?

Back

3/10, obtained by dividing both the numerator and denominator by their GCD, which is 4.

Front

What does it mean to express a fraction in simplest form?

Back

Expressing a fraction in simplest form means that the numerator and denominator have no common factors other than 1.

Front

What is the simplified form of 42/84?

Back

1/2, obtained by dividing both the numerator and denominator by their GCD, which is 42.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the simplified form of 24/96?

Back

1/4, obtained by dividing both the numerator and denominator by their GCD, which is 24.