Divide. ((4)/(3))/((2)/(9))

Name: Problem 54, Chapter 8: Beginning and Intermediate Algebra
Uploaded: 2021-02-23T07:21:08-08:00
Duration: 1 min 2 s
Channel: Narayan Hari
Description: Divide. ((4)/(3))/((2)/(9))

step 1 Okay, to solve this problem, I can write the given expression as 4 by 3 divided by 2 by 9. Now g

Question

Divide. $$\frac{\frac{4}{3}}{\frac{2}{9}}$$

   Divide.
$$\frac{\frac{4}{3}}{\frac{2}{9}}$$

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 8, Problem 54

Instant Answer

Solved by Expert Narayan Hari

02/23/2021

Step 1

Step 1: First, we rewrite the given expression as $\frac{4}{3}$ divided by $\frac{2}{9}$. Show more…

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Divide. $$\frac{\frac{4}{3}}{\frac{2}{9}}$$

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Key Concepts

Division of Fractions

Division of fractions involves dividing one fraction by another, which is accomplished by multiplying the first fraction by the reciprocal of the second. This approach transforms a division problem into a multiplication problem, allowing for a straightforward calculation.

Reciprocal

The reciprocal, or multiplicative inverse, of a fraction is created by swapping its numerator and denominator. This concept is essential in fraction division because multiplying by the reciprocal of a divisor instead of dividing by it simplifies the operation.

Multiplication of Fractions

Multiplication of fractions is performed by multiplying the numerators to form the new numerator and the denominators to form the new denominator. This method is used after converting the division of fractions into a multiplication problem using the reciprocal.

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