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 6/12?

Back

To simplify 6/12, divide both the numerator and denominator by their GCD, which is 6. This results in 1/2.

Front

What is the simplest form of the fraction 16/20?

Back

The simplest form of 16/20 is 4/5, found by dividing both the numerator and denominator by their GCD, which is 4.

Front

What is the process to simplify the fraction 10/14?

Back

To simplify 10/14, divide both the numerator and denominator by their GCD, which is 2, resulting in 5/7.

Front

How do you simplify the fraction 7/21?

Back

To simplify 7/21, divide both the numerator and denominator by their GCD, which is 7, resulting in 1/3.

Front

What is the lowest terms of the fraction 70/80?

Back

The lowest terms of 70/80 is 7/8, found by dividing both the numerator and denominator by their GCD, which is 10.

Front

What is the importance of simplifying fractions in mathematics?

Back

Simplifying fractions makes calculations easier and helps in comparing fractions, adding, or subtracting them.