Improper Fractions and Mixed Numbers

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

What is a mixed number?

Back

A mixed number is a number that consists of a whole number and a proper fraction.

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

Can the fraction part of a mixed number always be reduced?

Back

Not always; it depends on the specific fraction part.

Front

What is the first step in converting a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator and add the numerator.

Front

What is the result of converting the mixed number 2 1/2 to an improper fraction?

Back

The result is 5/2.

Front

What is the result of converting the mixed number 1 1/3 to an improper fraction?

Back

The result is 4/3.

Front

What is the process to reduce a fraction?

Back

To reduce a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.

Front

Can the improper fraction 9/4 be expressed as a mixed number?

Back

Yes, it can be expressed as 2 1/4.