Reducing Fractions

Front

What does it mean to reduce a fraction?

Back

To reduce a fraction means to simplify 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 can be found by listing the factors of each number and identifying the largest factor they share, or by using the Euclidean algorithm.

Front

What is the GCD of 6 and 15?

Back

The GCD of 6 and 15 is 3.

Front

What is the process to reduce the fraction 6/15?

Back

Divide both the numerator (6) and the denominator (15) by their GCD, which is 3. Thus, 6/15 = (6 ÷ 3)/(15 ÷ 3) = 2/5.

Front

What is the reduced form of the fraction 7/56?

Back

The reduced form of 7/56 is 1/8, found by dividing both the numerator and denominator by their GCD, which is 7.

Front

How do you simplify the fraction 15/30?

Back

To simplify 15/30, divide both the numerator and denominator by their GCD, which is 15. Thus, 15/30 = (15 ÷ 15)/(30 ÷ 15) = 1/2.

Front

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

Back

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

Front

What is the GCD of 2 and 10?

Back

The GCD of 2 and 10 is 2.

Front

How do you simplify the fraction 2/10?

Back

To simplify 2/10, divide both the numerator and denominator by their GCD, which is 2. Thus, 2/10 = (2 ÷ 2)/(10 ÷ 2) = 1/5.

Front

What is the importance of reducing fractions in mathematics?

Back

Reducing fractions is important because it makes calculations easier and helps in comparing fractions.