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

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 find the greatest common divisor (GCD) of two numbers?

Back

The GCD of two numbers is the largest number that divides both of them without leaving a remainder. It can be found using methods like prime factorization or the Euclidean algorithm.

Front

What is the simplest form of the fraction 12/15?

Back

The simplest form of 12/15 is 4/5, obtained by dividing both the numerator and denominator by their GCD, which is 3.

Front

How do you reduce the fraction 90/100?

Back

To reduce 90/100, find the GCD of 90 and 100, which is 10. Divide both the numerator and denominator by 10 to get 9/10.

Front

What is the fraction representation of 1 whole?

Back

The fraction representation of 1 whole is 1/1 or any fraction where the numerator equals the denominator.

Front

If a fraction has a numerator of 0, what is its value?

Back

If a fraction has a numerator of 0, its value is 0, regardless of the denominator (as long as the denominator is not zero).

Front

What is the relationship between fractions and division?

Back

Fractions represent division; the numerator is divided by the denominator. For example, the fraction 3/4 represents 3 divided by 4.

Front

How can you check if a fraction is in its simplest form?

Back

A fraction is in its simplest form if the GCD of the numerator and denominator is 1, meaning they have no common factors.

Front

What is the simplest form of the fraction 8/35?

Back

The simplest form of 8/35 is 8/35 itself, as 8 and 35 have no common factors other than 1.