Multiply and Divide Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and multiply the denominators together. The product is then simplified if possible.

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 2/3 is 3/2.

Front

What is the reciprocal of a whole number?

Back

The reciprocal of a whole number 'n' is 1/n. For example, the reciprocal of 7 is 1/7.

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 product of 3/4 and 2/5?

Back

The product is (3*2)/(4*5) = 6/20, which simplifies to 3/10.

Front

What is the product of 1/2 and 1/3?

Back

The product is (1*1)/(2*3) = 1/6.

Front

How can you visualize the multiplication of fractions?

Back

You can visualize the multiplication of fractions using area models or by using a number line.

Front

What is the result of multiplying 3/8 by 1/4?

Back

The result is (3*1)/(8*4) = 3/32.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.