Reduce to simplest form. -(7)/(8)+(-(1)/(2))=

Identify common denominator: Identify a common denominator for the fractions $ \frac{7}{8} $ and $ \frac{1}{2} $. The common denominator for 8 and 2 is 8.Convert to common denominator: Convert $ \frac{1}{2} $ to have the common denominator of 8. To do this, multiply both the numerator and the denominator by 4. $ \frac{1}{2} \times \frac{4}{4} = \frac{4}{8} $Rewrite with common denominator: Rewrite the expression with the common denominator. $ -\frac{7}{8} + (-\frac{4}{8}) $Combine numerators: Combine the numerators of the fractions. Add the numerators and keep the common denominator. $ -\frac{7}{8} - \frac{4}{8} = -\frac{7 + 4}{8} $Perform addition in numerator: Perform the addition in the numerator. $ -\frac{7 + 4}{8} = -\frac{11}{8} $Check for further simplification: The expression is already in its simplest form. $ -\frac{11}{8} $ cannot be simplified further because 11 and 8 have no common factors other than 1.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Reduce to simplest form.

\newline

-\frac{7}{8}+\left(-\frac{1}{2}\right)=

Identify common denominator: Identify a common denominator for the fractions $\frac{7}{8}$ and $\frac{1}{2}$ . $\newline$ The common denominator for $8$ and $2$ is $8$ .
Convert to common denominator: Convert $\frac{1}{2}$ to have the common denominator of $8$ . $\newline$ To do this, multiply both the numerator and the denominator by $4$ . $\newline$ $\frac{1}{2} \times \frac{4}{4} = \frac{4}{8}$
Rewrite with common denominator: Rewrite the expression with the common denominator. $\newline$ $-\frac{7}{8} + (-\frac{4}{8})$
Combine numerators: Combine the numerators of the fractions. $\newline$ Add the numerators and keep the common denominator. $\newline$ $-\frac{7}{8} - \frac{4}{8} = -\frac{7 + 4}{8}$
Perform addition in numerator: Perform the addition in the numerator. $\newline$ $-\frac{7 + 4}{8} = -\frac{11}{8}$
Check for further simplification: The expression is already in its simplest form. $\newline$ $-\frac{11}{8}$ cannot be simplified further because $11$ and $8$ have no common factors other than $1$ .