Multiply and Divide Fractions

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).

Front

What is a reciprocal?

Back

A reciprocal of a fraction is obtained by swapping its 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 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 simplify a fraction?

Back

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

Front

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

Back

Finding a fraction of a quantity involves multiplying the quantity by the fraction. For example, to find 1/2 of 8, calculate 1/2 * 8 = 4.

Front

What is the relationship between division and multiplication of fractions?

Back

Division of fractions can be transformed into multiplication by using the reciprocal of the divisor. For example, dividing by 1/2 is the same as multiplying by 2.

Front

How can you visualize dividing a whole number by a fraction?

Back

Dividing a whole number by a fraction can be visualized as determining how many times the fraction fits into the whole number.

Front

What is the importance of understanding fractions in real-life applications?

Back

Understanding fractions is crucial for managing proportions, cooking, budgeting, and various practical tasks in everyday life.