Reduce to simplest form. (8)/(3)+(-(9)/(4))=

Identify common denominator: Identify the common denominator for the fractions 8/3 and -9/4. The denominators are 3 and 4, so the least common denominator (LCD) is 12.Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator. For 8/3, multiply both the numerator and the denominator by 4 to get (8*4)/(3*4) = 32/12. For -9/4, multiply both the numerator and the denominator by 3 to get (-9*3)/(4*3) = -27/12.Add fractions with common denominator: Add the fractions with the common denominator. (32/12) + (-27/12) = (32 - 27)/12 = 5/12.

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Reduce to simplest form.

(8)/(3)+(-(9)/(4))=

Reduce to simplest form. $\newline$ $\frac{8}{3}+\left(-\frac{9}{4}\right)=$

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Algebra 2

Simplify variable expressions using properties

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Q. Reduce to simplest form.

\newline

\frac{8}{3}+\left(-\frac{9}{4}\right)=

Identify common denominator: Identify the common denominator for the fractions $\frac{8}{3}$ and $-\frac{9}{4}$ . The denominators are $3$ and $4$ , so the least common denominator (LCD) is $12$ .
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator. $\newline$ For $\frac{8}{3}$ , multiply both the numerator and the denominator by $4$ to get $\left(\frac{8\times 4}{3\times 4}\right) = \frac{32}{12}$ . $\newline$ For $\frac{-9}{4}$ , multiply both the numerator and the denominator by $3$ to get $\left(\frac{-9\times 3}{4\times 3}\right) = \frac{-27}{12}$ .
Add fractions with common denominator: Add the fractions with the common denominator. $\newline$ $(\frac{32}{12}) + (\frac{-27}{12}) = \frac{32 - 27}{12} = \frac{5}{12}$ .