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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $10$ $-$ $\frac{ab}{3}$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

10

-

\frac{ab}{3}

Convert to Common Fraction: To combine the whole number $10$ with the fraction $\frac{a}{b}$ / $3$ , we need to express $10$ as a fraction with a common denominator of $3$ . We can do this by multiplying $10$ by $\frac{3}{3}$ , which is equivalent to $1$ . So, $10$ becomes $10 \times \frac{3}{3} = \frac{30}{3}$ .
Subtract Fractions: Now we have the fraction $\frac{30}{3}$ and we need to subtract $\frac{ab}{3}$ from it. $\newline$ Since both fractions have the same denominator, we can subtract the numerators directly. $\newline$ The new numerator will be $30 - ab$ .
Final Result: The resulting fraction is $(30 - ab)/3$ . This is already in simplest form because the numerator and the denominator have no common factors other than $1$ .

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