Simplify Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

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 positive integer that divides both numbers without leaving a remainder. It can be found using the Euclidean algorithm or by listing the factors.

Front

What is the simplest form of the fraction 54/90?

Back

The simplest form of 54/90 is 3/5.

Front

How do you simplify the fraction 4/18?

Back

To simplify 4/18, divide both the numerator and denominator by their GCD, which is 2, resulting in 2/9.

Front

What is the simplest form of the fraction 12/32?

Back

The simplest form of 12/32 is 3/8.

Front

How do you simplify the fraction 6/72?

Back

To simplify 6/72, divide both the numerator and denominator by their GCD, which is 6, resulting in 1/12.

Front

What is the simplest form of the fraction 6/10?

Back

The simplest form of 6/10 is 3/5.

Front

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

Back

The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts in the whole.

Front

Why is it important to simplify fractions in real-life applications?

Back

Simplifying fractions makes them easier to understand and work with, especially in calculations involving measurements, ratios, and proportions.