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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(8)/(9)-(2)/(63) Answer: Submit Answer$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{8}{9}-\frac{2}{63}$ $\newline$ Answer: $\newline$ Submit Answer

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Multiplication with rational exponents

Full solution

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

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-\frac{8}{9}-\frac{2}{63}

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Answer:

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Submit Answer

Find Common Denominator: Identify a common denominator for the fractions. $\newline$ The fractions $-\frac{8}{9}$ and $-\frac{2}{63}$ have different denominators. To combine them, we need to find a common denominator. The least common multiple (LCM) of $9$ and $63$ is $63$ .
Convert First Fraction: Convert the first fraction to have the common denominator. $\newline$ To convert $-(\frac{8}{9})$ to have a denominator of $63$ , we multiply both the numerator and the denominator by $7$ (since $63$ is $7$ times $9$ ). $\newline$ $-(\frac{8}{9}) \times (\frac{7}{7}) = -(\frac{56}{63})$
Combine Fractions: Combine the fractions. $\newline$ Now that both fractions have the same denominator, we can combine them by subtracting their numerators. $\newline$ $-\frac{56}{63} - \frac{2}{63} = -\frac{56 + 2}{63} = -\frac{58}{63}$
Simplify Result: Simplify the fraction, if possible. $\newline$ The fraction $-\frac{58}{63}$ is already in its simplest form because $58$ and $63$ have no common factors other than $1$ .

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