Multiplication and Division of Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 5 1/6 = (5*6 + 1)/6 = 31/6.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 14/9.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator. For example, 14/9 = 1 5/9.

Front

What is multiplication?

Back

Multiplication is the process of adding a number to itself a certain number of times. For example, 3 multiplied by 4 (3 x 4) means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Front

What is division?

Back

Division is the process of splitting a number into equal parts. For example, 12 divided by 4 (12 ÷ 4) means splitting 12 into 4 equal parts, which equals 3.

Front

How do you find the total weight of multiple items with the same weight?

Back

Multiply the weight of one item by the number of items. For example, if each kitten weighs 5 1/2 ounces and there are 6 kittens, the total weight is 6 x 5 1/2 = 33 ounces.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations. If you multiply two numbers, you can find one of the original numbers by dividing the product by the other number.

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), such as 1/2.

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.