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

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

\newline

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

\newline

Answer:

Find common denominator: Find a common denominator for the fractions $(\frac{7}{9})$ and $(\frac{7}{8})$ . The common denominator for $9$ and $8$ is $72$ because $72$ is the least common multiple of $9$ and $8$ .
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of $72$ . For $(\frac{7}{9})$ , multiply both the numerator and the denominator by $8$ to get $(\frac{7\times8}{9\times8}) = \frac{56}{72}$ . For $(\frac{7}{8})$ , multiply both the numerator and the denominator by $9$ to get $(\frac{7\times9}{8\times9}) = \frac{63}{72}$ .
Subtract fractions: Subtract the two fractions with the common denominator. $\newline$ $(\frac{56}{72}) - (\frac{63}{72}) = (\frac{56 - 63}{72}) = \frac{-7}{72}$ .
Simplify final fraction: Simplify the fraction, if possible. $\newline$ The fraction $-\frac{7}{72}$ is already in its simplest form because $7$ and $72$ have no common factors other than $1$ .

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