Reduce to simplest form. -(7)/(12)+(3)/(8)=

Find Common Denominator: Find a common denominator for the fractions (7/12) and (3/8). The least common multiple (LCM) of 12 and 8 is 24, so we will use 24 as the common denominator.Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of 24. For (7/12), we multiply the numerator and denominator by 2 to get (14/24). For (3/8), we multiply the numerator and denominator by 3 to get (9/24).Rewrite with New Fractions: Rewrite the expression with the new fractions. The expression now becomes -(14/24) + (9/24).Combine Fractions: Combine the fractions by adding the numerators and keeping the common denominator. The combined fraction is (9/24) - (14/24) = (9 - 14)/24.Simplify Numerator: Simplify the numerator. 9 - 14 equals -5, so the fraction becomes (-5/24).Check for Further Simplification: Check if the fraction can be simplified further. The numerator and denominator have no common factors other than 1, so the fraction is already in its simplest form.

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Algebra 2

Simplify variable expressions using properties

Full solution

Q. Reduce to simplest form.

\newline

-\frac{7}{12}+\frac{3}{8}=

Find Common Denominator: Find a common denominator for the fractions $(\frac{7}{12})$ and $(\frac{3}{8})$ . The least common multiple (LCM) of $12$ and $8$ is $24$ , so we will use $24$ as the common denominator.
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of $24$ . For $(\frac{7}{12})$ , we multiply the numerator and denominator by $2$ to get $(\frac{14}{24})$ . For $(\frac{3}{8})$ , we multiply the numerator and denominator by $3$ to get $(\frac{9}{24})$ .
Rewrite with New Fractions: Rewrite the expression with the new fractions. $\newline$ The expression now becomes $-\frac{14}{24} + \frac{9}{24}$ .
Combine Fractions: Combine the fractions by adding the numerators and keeping the common denominator. $\newline$ The combined fraction is (\frac{$9$}{$24$}) - (\frac{$14$}{$24$}) = (\frac{$9$ - $14$}{$24$})\.
Simplify Numerator: Simplify the numerator. \(9 - 14 equals $-5$ , so the fraction becomes $(-5/24)$ .
Check for Further Simplification: Check if the fraction can be simplified further. The numerator and denominator have no common factors other than $1$ , so the fraction is already in its simplest form.