Question

Solve each equation. $$\frac{1}{4}+\frac{1}{5}=\frac{x}{2}$$

   Solve each equation.
$$\frac{1}{4}+\frac{1}{5}=\frac{x}{2}$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 2, Problem 44

Instant Answer

Solved by Expert Julie Silva

04/26/2020

Step 1

This gives us: \[20 \times \frac{1}{4} + 20 \times \frac{1}{5} = 20 \times \frac{x}{2}\] Show more…

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Solve each equation. $$\frac{1}{4}+\frac{1}{5}=\frac{x}{2}$$

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Key Concepts

Common Denominator

A common denominator is required when adding or subtracting fractions. By finding a common base for the denominators, fractions can be rewritten to have the same denominator, which allows their numerators to be directly summed or subtracted.

Fraction Addition

Adding fractions involves converting the fractions to equivalent forms with a common denominator, then adding their numerators, and finally simplifying the result if possible.

Solving Equations with Fractions

This concept involves manipulating an equation containing fractional terms to isolate the unknown variable. Techniques include finding a common denominator, cross multiplying, or multiplying both sides of the equation by the least common multiple to eliminate the fractions from the equation.

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