Multiply Fractions

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. The formula is: (a/b) x (c/d) = (a*c)/(b*d).

Front

What is the result of multiplying 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 as usual. For example, (a/b) x c = (a*c)/(b*1).

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 the result over the original denominator. For example, 1 1/4 = (1*4 + 1)/4 = 5/4.

Front

What is the result of 1/2 x 3/4?

Back

1/2 x 3/4 = (1*3)/(2*4) = 3/8.

Front

How do you simplify the fraction 3/8?

Back

The fraction 3/8 is already in its simplest form because the numerator and denominator have no common factors other than 1.

Front

What is the result of multiplying two mixed numbers, such as 1 1/4 x 2 2/5?

Back

First, convert both mixed numbers to improper fractions: 1 1/4 = 5/4 and 2 2/5 = 12/5. Then multiply: (5/4) x (12/5) = (5*12)/(4*5) = 60/20 = 3.

Front

What is the result of 3/4 x 1/6?

Back

3/4 x 1/6 = (3*1)/(4*6) = 3/24, which simplifies to 1/8.

Front

What is the importance of simplifying fractions after multiplication?

Back

Simplifying fractions makes them easier to understand and work with. It helps in identifying equivalent fractions and in further calculations.

Front

What is a common mistake when multiplying fractions?

Back

A common mistake is to add the numerators and denominators instead of multiplying them. Remember to multiply across.

Front

How do you handle multiplying fractions with different denominators?

Back

When multiplying fractions, you do not need to find a common denominator. Simply multiply the numerators and denominators directly.