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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(9)-(7)/(6) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{7}{9}-\frac{7}{6}$ $\newline$ 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}{6}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $(\frac{7}{9})$ and $(\frac{7}{6})$ . The common denominator for $9$ and $6$ is $18$ , because $18$ is the least common multiple of $9$ and $6$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $18$ . For $\frac{7}{9}$ , multiply both the numerator and the denominator by $2$ to get $\frac{14}{18}$ . For $\frac{7}{6}$ , multiply both the numerator and the denominator by $3$ to get $\frac{21}{18}$ .
Subtract Fractions: Subtract the two fractions with the common denominator. $\newline$ $(\frac{14}{18}) - (\frac{21}{18}) = \frac{14 - 21}{18}$
Perform Subtraction: Perform the subtraction in the numerator. $\newline$ $14 - 21 = -7$ $\newline$ So, $(14 - 21)/18 = (-7)/18$
Simplify Fraction: Simplify the fraction, if possible. $\newline$ The fraction $(-7)/18$ is already in its simplest form because $7$ and $18$ have no common factors other than $1$ .

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