Multiply and Divide Fractions Word Problems

Front

What is the process for multiplying fractions?

Back

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

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c) = (a*d)/(b*c).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 3 1/2.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. It is used to add or subtract fractions.

Front

How do you find the least common multiple (LCM) of two numbers?

Back

To find the least common multiple, list the multiples of each number and find the smallest multiple they have in common.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions increases the quantity, while division of fractions determines how many times one fraction fits into another.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words, requiring interpretation and translation into mathematical expressions.

Front

How do you approach solving a word problem involving fractions?

Back

Read the problem carefully, identify the fractions involved, determine the operation needed (addition, subtraction, multiplication, or division), and set up the equation.