Converting Improper Fractions and Simplifying

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is the first step in simplifying a fraction?

Back

The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and the denominator.

Front

How do you simplify the fraction 9/45?

Back

To simplify 9/45, divide both the numerator and the denominator by their GCD, which is 9. This results in 1/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the simplified form of 12/16?

Back

The simplified form of 12/16 is 3/4.

Front

What is the process of finding the GCD of two numbers?

Back

The GCD can be found using the Euclidean algorithm, which involves dividing the larger number by the smaller number and then repeating the process with the remainder until the remainder is zero.

Front

What is the mixed number equivalent of the improper fraction 17/5?

Back

The mixed number equivalent of 17/5 is 3 2/5.

Front

How do you simplify the fraction 24/36?

Back

To simplify 24/36, divide both the numerator and the denominator by their GCD, which is 12. This results in 2/3.