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Use a number line to determine whether each statement is true or false. -4 > -3
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 69
Simplify each complex fraction. See Examples 5 and 6. (−4/3) ÷ (2/9)
Guida verificata passo dopo passo1
Rewrite the complex fraction clearly as \(\frac{\frac{4}{3}}{\frac{2}{9}}\) to understand the structure better.
Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. So, rewrite the expression as \(\frac{4}{3} \times \frac{9}{2}\).
Multiply the numerators together and the denominators together: numerator = \(4 \times 9\), denominator = \(3 \times 2\).
Simplify the resulting fraction by performing the multiplications and then reducing the fraction to its simplest form by dividing numerator and denominator by their greatest common divisor.
Express the simplified fraction as the final answer, ensuring it is in lowest terms.
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Complex Fractions
A complex fraction is a fraction where the numerator, denominator, or both contain fractions themselves. Simplifying involves rewriting the expression so that it no longer contains fractions within fractions, often by finding a common denominator or multiplying numerator and denominator by the least common denominator.
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Percorso guidato
4:22
Dividing Complex Numbers
Reciprocal and Division of Fractions
Dividing by a fraction is equivalent to multiplying by its reciprocal. To simplify complex fractions, you often convert division into multiplication by flipping the denominator fraction, which makes the expression easier to handle and simplify.
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Percorso guidato
4:02Solving Linear Equations with Fractions
Simplifying Fractions
After rewriting the complex fraction, simplify by reducing fractions to their lowest terms. This involves factoring numerators and denominators, canceling common factors, and performing arithmetic operations to achieve the simplest form.
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4:02Solving Linear Equations with Fractions
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