Skip to main content
Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
All textbooksLial 13th EditionCh. R - Review of Basic ConceptsProblem 43
Chapter 1, Problem 43

Multiply or divide as indicated. Write answers in lowest terms as needed. 34÷12\(\frac\)34\(\div\)12

Verified step by step guidance
1
Identify the expression to simplify: \(\frac{3}{4} \div 12\).
Rewrite the division of fractions as multiplication by the reciprocal: \(\frac{3}{4} \times \frac{1}{12}\).
Multiply the numerators together and the denominators together: \(\frac{3 \times 1}{4 \times 12}\).
Calculate the numerator and denominator products without simplifying yet: \(\frac{3}{48}\).
Simplify the fraction \(\frac{3}{48}\) by dividing numerator and denominator by their greatest common divisor.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
1m

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Dividing Fractions

Dividing fractions involves multiplying the first fraction by the reciprocal of the second. For example, dividing by 12 is the same as multiplying by 1/12. This method simplifies the division process and helps in finding the correct quotient.
Recommended video:
04:22
Dividing Complex Numbers

Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD). This makes the fraction easier to understand and work with, ensuring the answer is in its simplest form.
Recommended video:
05:45
Radical Expressions with Fractions

Multiplying Fractions

Multiplying fractions requires multiplying the numerators together and the denominators together. This straightforward process is essential when dividing fractions since division is converted into multiplication by the reciprocal.
Recommended video:
04:15
Multiply Polynomials Using the Distributive Property
Related Practice
Textbook Question

Determine whether each statement is true or false. 9 ∉ {8, 5, 2, 1}

1
views
Textbook Question

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. (4x)-2

Textbook Question

Find each product. (2m+3)(2m-3)

2
views
Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 247÷621\(\frac{24}{7}\[\div\]\frac{6}{21}\)

Textbook Question

Factor each trinomial, if possible. See Examples 3 and 4. 36x3+18x2-4x

Textbook Question

Find each product. (t+4)(t+4)(t-4)(t-4)