Multiplying 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, for fractions a/b and c/d, the product is (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 numerators and denominators. For example, to multiply 2/3 by 4, do (2*4)/(3*1) = 8/3.

Front

What is the first step in multiplying fractions?

Back

The first step in multiplying fractions is to identify the numerators and denominators of the fractions you are multiplying.

Front

What is a mixed number and how do you multiply it with a fraction?

Back

A mixed number is a whole number combined with a fraction. To multiply a mixed number by a fraction, first convert the mixed number to an improper fraction, then multiply as usual.

Front

What is the result of multiplying 2/6 by 3/5?

Back

The result of multiplying 2/6 by 3/5 is (2*3)/(6*5) = 6/30, which simplifies to 1/5.

Front

What does it mean to simplify a fraction?

Back

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

Front

What is the product of 1/4 and 1/3?

Back

The product of 1/4 and 1/3 is (1*1)/(4*3) = 1/12.

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 over the original denominator. For example, 1 1/3 becomes (1*3 + 1)/3 = 4/3.

Front

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

Back

The product of 3/5 and 2/3 is (3*2)/(5*3) = 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 is important when adding or subtracting fractions because it allows you to combine the fractions into a single fraction.