Multiply Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2, which means 2 whole parts and 1/2 of another part.

Front

How do you multiply fractions?

Back

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

Front

What is the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. Area = length × width.

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, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the first step in solving a word problem involving fractions?

Back

The first step is to read the problem carefully and identify the quantities involved, including any fractions.

Front

How do you find the total amount when multiplying a fraction by a whole number?

Back

Multiply the fraction by the whole number. For example, 3 * (2/5) = 6/5 or 1 1/5.

Front

What does it mean to use a fraction of a quantity?

Back

Using a fraction of a quantity means taking that fraction of the total amount. For example, using 1/2 of 10 means taking 5.

Front

How do you find the area of a shape using fractions?

Back

To find the area of a shape using fractions, multiply the fractional dimensions together. For example, if a rectangle is 3/4 yard long and 2/3 yard wide, the area is (3/4) * (2/3) = 1/2 square yard.

Front

What is the process to solve a problem involving mixed numbers?

Back

Convert mixed numbers to improper fractions, perform the operation (addition, subtraction, multiplication, or division), and convert back if necessary.