Textbook Question
Write 272/3 in radical form and evaluate.
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Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
Chapter 1, Problem 2
The mixed number equivalent of the improper fraction is .
Verified step by step guidance1
Identify the improper fraction given, which is \(\frac{31}{5}\).
Divide the numerator by the denominator: divide 31 by 5 to find how many whole parts there are.
Determine the whole number part of the mixed number by taking the quotient from the division.
Find the remainder from the division, which will be the numerator of the fractional part of the mixed number.
Write the mixed number as the whole number part followed by the fractional part with the remainder over the original denominator, resulting in \(6\frac{1}{5}\).
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Improper Fractions
An improper fraction is a fraction where the numerator is greater than or equal to the denominator, indicating a value equal to or greater than one. For example, 31/5 is improper because 31 is greater than 5.
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05:45
Radical Expressions with Fractions
Mixed Numbers
A mixed number combines a whole number and a proper fraction, representing a value greater than one. It is used to express improper fractions in a more understandable form, such as 6(1/5) for 31/5.
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Converting Improper Fractions to Mixed Numbers
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder over the denominator forms the fractional part. For 31/5, dividing 31 by 5 gives 6 with a remainder of 1, so the mixed number is 6(1/5).
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04:22Dividing Complex Numbers
Related Practice
Textbook Question
Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. (d) ( 3x )-1/3
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Write ∛64 using exponents and evaluate.
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Textbook Question
In the fraction 5/8, 5 is the numerator and 8 is the denominator.
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Textbook Question
Determine whether each statement is true or false. If false, correct the right side of the equation. (y2)(y5) = y7
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Textbook Question
Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. ( -3x )1/3