Textbook Question
Use the quotient rule to simplify the expressions in Exercises 45-46. √(121/4)
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0. Review of Algebra
Exponents
1:14 minutesProblem 46
Textbook Question
Multiply or divide as indicated. Write answers in lowest terms as needed.
Verified step by step guidance1
Identify the operation: You need to divide 8 by the fraction \( \frac{4}{9} \). This can be written as \( 8 \div \frac{4}{9} \).
Recall the rule for dividing by a fraction: Dividing by a fraction is the same as multiplying by its reciprocal. So, \( 8 \div \frac{4}{9} = 8 \times \frac{9}{4} \).
Rewrite the multiplication: Express 8 as a fraction to make multiplication easier, \( \frac{8}{1} \times \frac{9}{4} \).
Multiply the numerators together and the denominators together: \( \frac{8 \times 9}{1 \times 4} = \frac{72}{4} \).
Simplify the fraction \( \frac{72}{4} \) by dividing numerator and denominator by their greatest common divisor to write the answer in lowest terms.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Dividing Fractions
Dividing by a fraction involves multiplying by its reciprocal. For example, dividing by 4/9 is the same as multiplying by 9/4. This simplifies the division process and helps in finding the correct answer.
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Multiplying Fractions
To multiply fractions, multiply the numerators together and the denominators together. This straightforward process is essential after converting division into multiplication by the reciprocal.
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Simplifying Fractions
After performing multiplication or division, simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor. This ensures the answer is in lowest terms, making it easier to interpret.
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