Problem 36 Add $$\left(\frac{3}{4} c+\fra... [FREE SOLUTION]

Chapter 6: Problem 36

Add $$\left(\frac{3}{4} c+\frac{1}{8}\right)+\left(\frac{3}{2} c-\frac{5}{6}\right)$$

Short Answer

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The short answer is: $$\frac{9}{4}c - \frac{17}{24}$$

Step by step solution

Identify the Terms

In the given expression, there are two terms with the common variable 'c' and two constants. Identify these terms: Terms with 'c': $\frac{3}{4}c$ and $\frac{3}{2}c$ Constants: $\frac{1}{8}$ and $-\frac{5}{6}$

Adding Coefficients of 'c'

Now, add the coefficients of the common variable 'c': $\frac{3}{4}c + \frac{3}{2}c$ To add fractions, we need a common denominator. In this case, the common denominator is 4. So, we can rewrite the expression as: $\frac{3}{4}c + \frac{6}{4}c$ Now, add the fractions: $\frac{3 + 6}{4}c = \frac{9}{4}c$

Adding Constants

Next, let's add the constants: $\frac{1}{8} - \frac{5}{6}$ Find the common denominator for the constants, which is 24. Rewrite the fractions with the common denominator: $\frac{3}{24} - \frac{20}{24}$ Now subtract the fractions: $\frac{3 - 20}{24} = -\frac{17}{24}$

Combine Simplified Terms

Finally, combine the simplified terms: $\frac{9}{4}c - \frac{17}{24}$ The simplified expression after adding is: $$\frac{9}{4}c - \frac{17}{24}$$

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91影视

Add $$\left(\frac{3}{4} c+\frac{1}{8}\right)+\left(\frac{3}{2} c-\frac{5}{6}\right)$$

Short Answer

Step by step solution

Identify the Terms

Adding Coefficients of 'c'

Adding Constants

Combine Simplified Terms

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