Multiplying and Dividing Fraction Word Problems

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 (part) and 'b' is the denominator (whole).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2*4)/(3*5) = 8/15.

Front

What does it mean to divide fractions?

Back

Dividing fractions means to multiply by the reciprocal of the second fraction. For example, to divide (2/3) by (4/5), you multiply (2/3) by (5/4).

Front

What is a reciprocal?

Back

A reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

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 fractions involved and what operation (addition, subtraction, multiplication, or division) is needed.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 8/12, divide both by 4 to get 2/3.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions increases the value, while division of fractions decreases the value. They are inverse operations.