Simplifying/ Reducing 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

To simplify a fraction means to reduce 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 a fraction?

Back

The simplest form of a fraction is when the numerator and denominator are reduced to their lowest terms, meaning they have no common factors other than 1.

Front

How do you reduce the fraction 7/28 to its simplest form?

Back

Divide both the numerator and denominator by their GCD, which is 7. Thus, 7/28 = (7 ÷ 7)/(28 ÷ 7) = 1/4.

Front

What is the simplest form of 15/30?

Back

The simplest form of 15/30 is 1/2, found by dividing both the numerator and denominator by their GCD, which is 15.

Front

How can you reduce the fraction 9/36?

Back

To reduce 9/36, divide both the numerator and denominator by their GCD, which is 9. Thus, 9/36 = (9 ÷ 9)/(36 ÷ 9) = 1/4.

Front

What is the process to simplify 40/48?

Back

To simplify 40/48, find the GCD, which is 8. Then divide both the numerator and denominator by 8: 40/48 = (40 ÷ 8)/(48 ÷ 8) = 5/6.

Front

What is the simplest form of 12/18?

Back

The simplest form of 12/18 is 2/3, found by dividing both the numerator and denominator by their GCD, which is 6.

Front

Why is it important to simplify fractions?

Back

Simplifying fractions makes them easier to understand and work with, especially in calculations and comparisons.