Simplifying 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 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 the fraction 30/60?

Back

1/2

Front

What is the simplified form of the fraction 5/10?

Back

1/2

Front

What is the simplified form of the fraction 14/21?

Back

2/3

Front

What is the simplified form of the fraction 16/44?

Back

4/11

Front

What is the simplified form of the fraction 8/12?

Back

2/3

Front

What is the relationship between the numerator and denominator in a simplified fraction?

Back

In a simplified fraction, the numerator and denominator are coprime, meaning they have no common factors other than 1.

Front

Why is it important to simplify fractions?

Back

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