Simplify 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 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 methods like prime factorization or the Euclidean algorithm.

Front

What is the simplified form of 8/16?

Back

1/2

Front

How do you simplify the fraction 18/32?

Back

Divide both the numerator and denominator by their GCD, which is 2, resulting in 9/16.

Front

What is the simplified form of 24/68?

Back

6/17

Front

What is the simplified form of 21/39?

Back

7/13

Front

How do you simplify the fraction 7/21?

Back

Divide both the numerator and denominator by their GCD, which is 7, resulting in 1/3.

Front

What is the importance of simplifying fractions in mathematics?

Back

Simplifying fractions makes calculations easier and helps in comparing fractions more effectively.

Front

Can a fraction be simplified if the numerator is smaller than the denominator?

Back

Yes, a fraction can still be simplified even if the numerator is smaller than the denominator, as long as they have common factors.