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 137
Chapter 1, Problem 137

Complete the table of fraction, decimal and percent equivalents.

Table displaying fraction, decimal, and percent equivalents with a partially completed 50% entry.

Verified step by step guidance
1
Understand that the problem asks to complete a table showing equivalent values of a fraction, a decimal, and a percent. The percent given is 50%.
Recall the relationship between percents, decimals, and fractions: - To convert a percent to a decimal, divide by 100. - To convert a decimal to a fraction, write the decimal over its place value and simplify.
Convert 50% to a decimal by dividing 50 by 100: \[ 50 \% = \frac{50}{100} = 0.50 \]
Convert the decimal 0.50 to a fraction by writing it as \[ \frac{50}{100} \] and then simplify the fraction to its lowest terms.
Verify that the fraction, decimal, and percent all represent the same value and fill in the table accordingly.

Verified video answer for a similar problem:

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

Key Concepts

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

Percent to Decimal Conversion

Converting a percent to a decimal involves dividing the percent value by 100. For example, 50% becomes 0.50 as a decimal. This conversion is essential for comparing and calculating values in different formats.
Recommended video:
4:47
The Number e

Decimal to Fraction Conversion

To convert a decimal to a fraction, write the decimal as a ratio of integers and simplify. For instance, 0.50 equals 50/100, which simplifies to 1/2. This process helps express decimals in fractional form, often in lowest terms.
Recommended video:
Guided course
05:45
Radical Expressions with Fractions

Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing numerator and denominator by their greatest common divisor (GCD). For example, 50/100 simplifies to 1/2. This ensures fractions are presented in their simplest, most understandable form.
Recommended video:
Guided course
05:45
Radical Expressions with Fractions
Related Practice
Textbook Question

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∛(8/x⁴)

3
views
Textbook Question

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. g3h59r64\(\sqrt\)[4]{\(\frac{g^3h^5}{9r^6}\)}

3
views
Textbook Question

Use the distributive property to calculate each value mentally. 72∙17+28∙17

3
views
Textbook Question

Use the distributive property to calculate each value mentally. 12358⋅112−2358⋅112123 \(\frac{5}{8}\) \(\cdot\) 1 \(\frac{1}{2}\) - 23 \(\frac{5}{8}\) \(\cdot\) 1 \(\frac{1}{2}\)

7
views
Textbook Question

Find all values of b or c that will make the polynomial a perfect square trinomial. 100r2-60r+c

2
views
Textbook Question

Find all values of b or c that will make the polynomial a perfect square trinomial. 4z2+bz+81