Tuesday 11/5 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, where the numerator is the part and the denominator is the whole.

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 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 the prime factorization method or the Euclidean algorithm.

Front

What is the GCD of 6 and 9?

Back

The GCD of 6 and 9 is 3.

Front

What is the GCD of 12 and 16?

Back

The GCD of 12 and 16 is 4.

Front

What is the GCD of 14 and 35?

Back

The GCD of 14 and 35 is 7.

Front

How do you simplify the fraction 4/8?

Back

To simplify 4/8, divide both the numerator and denominator by their GCD, which is 4. The simplified fraction is 1/2.

Front

What is the simplified form of 10/15?

Back

The simplified form of 10/15 is 2/3.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator.

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.