Dividing Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as a ratio of two numbers, the numerator (top number) and the denominator (bottom number).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What is the reciprocal of 2?

Back

The reciprocal of 2 is 1/2.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, 2 1/3 becomes (2*3 + 1)/3 = 7/3.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 10/20?

Back

Divide both the numerator and denominator by their greatest common divisor, which is 10. So, 10/20 simplifies to 1/2.

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Back

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Back

The answer is 4.