Invert and Multiply

Definition

Invert and multiply is a method used to divide fractions. It involves inverting the divisor (the denominator of the second fraction) and then multiplying the numerator of the first fraction by the inverted denominator of the second fraction.

5 Must Know Facts For Your Next Test

1. The invert and multiply method is used to simplify the division of fractions.
2. To divide two fractions using the invert and multiply method, you first invert the divisor (the second fraction) and then multiply the first fraction by the inverted divisor.
3. Inverting a fraction means flipping the numerator and denominator, effectively changing the division operation to a multiplication operation.
4. Multiplying fractions involves multiplying the numerators together and the denominators together to find the product.
5. The invert and multiply method is a useful shortcut for dividing fractions, as it avoids the need for complex division algorithms.

Review Questions

• Explain the step-by-step process of using the invert and multiply method to divide two fractions.
  • To divide two fractions using the invert and multiply method, follow these steps: 1. Identify the dividend (the first fraction) and the divisor (the second fraction). 2. Invert the divisor by flipping the numerator and denominator. 3. Multiply the dividend (the first fraction) by the inverted divisor. 4. The result of this multiplication is the quotient, or the answer to the division problem.
• Describe how the invert and multiply method is related to the concept of reciprocals and the multiplication of fractions.
  • The invert and multiply method is closely tied to the concept of reciprocals and the multiplication of fractions. When you invert the divisor, you are essentially finding the reciprocal of that fraction. The reciprocal of a fraction is the value obtained by flipping the numerator and denominator. By multiplying the dividend by the reciprocal of the divisor, you are effectively converting the division operation into a multiplication operation, which is a simpler and more straightforward process for working with fractions.
• Analyze the advantages of using the invert and multiply method compared to other approaches for dividing fractions, and explain why it is a useful technique to master.
  • The invert and multiply method offers several advantages over other approaches for dividing fractions. First, it simplifies the division process by converting it into a multiplication operation, which is generally easier to perform. Second, it avoids the need for complex division algorithms, making it a more efficient and time-saving technique. Additionally, the invert and multiply method can be applied to a wide range of fraction division problems, making it a versatile and widely-applicable skill. Mastering this method is crucial for students studying pre-algebra and fractions, as it provides a reliable and effective way to divide fractions accurately and with confidence.

Related terms

Fraction: A mathematical representation of a part of a whole, expressed as a numerator over a denominator.

Reciprocal: The reciprocal of a number is the value obtained by inverting the fraction, or dividing 1 by the number.

Multiplication of Fractions: The process of multiplying the numerators together and the denominators together to find the product of two or more fractions.