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Reduce to simplest form.

(5)/(8)-(-(7)/(2))=

Reduce to simplest form. $\newline$ $\frac{5}{8}-\left(-\frac{7}{2}\right)=$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Reduce to simplest form.

\newline

\frac{5}{8}-\left(-\frac{7}{2}\right)=

Rewrite as addition: Rewrite the subtraction of a negative number as addition. $\newline$ $(\frac{5}{8}) - (-(\frac{7}{2})) = (\frac{5}{8}) + (\frac{7}{2})$
Find common denominator: Find a common denominator for the two fractions. $\newline$ The least common multiple of $8$ and $2$ is $8$ , so we will use $8$ as the common denominator.
Convert to common denominator: Convert the second fraction to have the common denominator. $\newline$ $(\frac{7}{2})$ can be written as $(\frac{28}{8})$ because $7 \times 4 = 28$ and $2 \times 4 = 8$ .
Add fractions: Add the two fractions with the common denominator. $\newline$ $(\frac{5}{8}) + (\frac{28}{8}) = (\frac{5 + 28}{8}) = \frac{33}{8}$
Check for simplification: Check if the resulting fraction can be simplified. $33$ and $8$ have no common factors other than $1$ , so the fraction is already in its simplest form.

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