Multiplying and Dividing Fractions

Front

What is the product of two fractions?

Back

To find the product of two fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, convert the whole number to a fraction (by placing it over 1) and then multiply the fractions. For example, 3 * (a/b) = (3*a)/b.

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 a/b is b/a.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the result of multiplying 1/3 by 1/6?

Back

The result is 1/18, calculated as (1*1)/(3*6).

Front

What is the result of dividing 4/3 by 5/3?

Back

The result is 4/5, calculated as (4/3) * (3/5) = (4*3)/(3*5) = 4/5.

Front

What is the product of 2/7 and 5/4?

Back

The product is 10/28, which simplifies to 5/14.

Front

How do you simplify a fraction?

Back

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

Front

What is the product of 3/5 and 2/3?

Back

The product is 6/15, which simplifies to 2/5.

Front

What is the importance of finding a common denominator when adding or subtracting fractions?

Back

Finding a common denominator allows you to combine fractions by ensuring they have the same base, making addition or subtraction possible.