Problem

26. Choose the LCD and the GCF for the equation below. Simplify. \[ \begin{array}{l} \left(-\frac{2}{10}\right)-\frac{3}{5}+\frac{18}{20} \\ L C D= \end{array} \] GCF =

Solution

Step 1 :Find the Least Common Denominator (LCD) and the Greatest Common Factor (GCF) for the given fractions with denominators 10, 5, and 20.

Step 2 :LCD = 20, GCF = 5

Step 3 :Rewrite the fractions with the LCD as the denominator: \(-\frac{2}{10} = -\frac{4}{20}, \frac{3}{5} = \frac{12}{20}, \frac{18}{20} = \frac{18}{20}\)

Step 4 :Perform the operations: \(-\frac{4}{20} - \frac{12}{20} + \frac{18}{20} = \frac{-4 - 12 + 18}{20}\)

Step 5 :Simplify the fraction: \(\frac{-4 - 12 + 18}{20} = \frac{2}{20}\)

Step 6 :Reduce the fraction using the GCF: \(\frac{2}{20} = \frac{2}{2 \times 10} = \frac{1}{10}\)

Step 7 :\(\boxed{\frac{1}{10}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/10977/

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