Simplify Fractions

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 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 simplified form of the fraction 4/16?

Back

1/4

Front

What is the simplified form of the fraction 14/35?

Back

2/5

Front

What is the simplified form of the fraction 7/21?

Back

1/3

Front

What is the simplified form of the fraction 70/80?

Back

7/8

Front

What is the first step in simplifying a fraction?

Back

The first step is to find the GCD of the numerator and the denominator.

Front

Can a fraction be simplified if the numerator is 0?

Back

Yes, any fraction with a numerator of 0 is simplified to 0, regardless of the denominator (as long as the denominator is not 0).

Front

What is the relationship between fractions and division?

Back

A fraction represents the division of the numerator by the denominator.

Front

How can you check if a fraction is in its simplest form?

Back

A fraction is in its simplest form if the GCD of the numerator and denominator is 1.