Question

Solve $\frac{3}{2} x+\frac{5}{6}=\frac{5}{9} x+\frac{1}{3}.$

   Solve $\frac{3}{2} x+\frac{5}{6}=\frac{5}{9} x+\frac{1}{3}.$

Precalculus Functions and Graphs

Precalculus Functions and Graphs

Mark Dugopolski 4th Edition

Chapter 2, Problem 111

Instant Answer

Solved by Expert Linh Vu

04/03/2020

Step 1

So, we subtract $\frac{5}{9}x$ from both sides and subtract $\frac{5}{6}$ from both sides. This gives us: \[\frac{3}{2}x - \frac{5}{9}x = \frac{1}{3} - \frac{5}{6}.\] Show more…

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Solve $\frac{3}{2} x+\frac{5}{6}=\frac{5}{9} x+\frac{1}{3}.$

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Key Concepts

Clearing Fractions

Clearing fractions is a technique used to eliminate fractions from an equation by multiplying both sides by the least common multiple of the denominators. This simplifies the equation into a form that is easier to solve by reducing it to integer arithmetic.

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Operations with Fractions

This key concept encompasses the ability to manipulate fractional expressions, including addition, subtraction, multiplication, and division. Mastery of fraction operations is essential when equations include fractional coefficients or constant terms.

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