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).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

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 methods like prime factorization or the Euclidean algorithm.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator are reduced to their smallest possible values, meaning they have no common factors.

Front

How do you simplify the fraction 6/9?

Back

To simplify 6/9, divide both the numerator and denominator by their GCD, which is 3. Thus, 6 ÷ 3 = 2 and 9 ÷ 3 = 3, resulting in 2/3.

Front

What is the simplest form of the fraction 15/20?

Back

The simplest form of 15/20 is 3/4, found by dividing both the numerator and denominator by their GCD, which is 5.

Front

How can you simplify the fraction 30/40?

Back

To simplify 30/40, divide both the numerator and denominator by their GCD, which is 10. Thus, 30 ÷ 10 = 3 and 40 ÷ 10 = 4, resulting in 3/4.

Front

What is the process to simplify 14/35?

Back

To simplify 14/35, find the GCD, which is 7. Divide both the numerator and denominator by 7: 14 ÷ 7 = 2 and 35 ÷ 7 = 5, resulting in 2/5.

Front

How do you simplify the fraction 4/16?

Back

To simplify 4/16, divide both the numerator and denominator by their GCD, which is 4. Thus, 4 ÷ 4 = 1 and 16 ÷ 4 = 4, resulting in 1/4.

Front

What is the importance of simplifying fractions in mathematics?

Back

Simplifying fractions makes calculations easier, helps in comparing fractions, and is essential for solving problems involving fractions.