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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(8)/(9)-(7)/(15) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{8}{9}-\frac{7}{15}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

-\frac{8}{9}-\frac{7}{15}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $\frac{-8}{9}$ and $\frac{-7}{15}$ . The common denominator for $9$ and $15$ is $45$ , as it is the least common multiple of these two numbers.
Convert to Common Denominator: Convert each fraction to an equivalent fraction with the common denominator of $45$ . For $-\frac{8}{9}$ , multiply both the numerator and the denominator by $5$ to get $-\frac{8\times 5}{9\times 5} = -\frac{40}{45}$ . For $-\frac{7}{15}$ , multiply both the numerator and the denominator by $3$ to get $-\frac{7\times 3}{15\times 3} = -\frac{21}{45}$ .
Add Fractions: Add the two fractions with the common denominator. $\newline$ $-\frac{40}{45} - \frac{21}{45} = -\frac{40 + 21}{45} = -\frac{61}{45}$
Simplify Fraction: Simplify the fraction, if possible. $\newline$ The fraction $-\frac{61}{45}$ is already in its simplest form because $61$ and $45$ have no common factors other than $1$ .

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