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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(9)/(10)-(3)/(4) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{9}{10}-\frac{3}{4}$ $\newline$ 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{9}{10}-\frac{3}{4}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions $\frac{9}{10}$ and $\frac{3}{4}$ . The common denominator for $10$ and $4$ is $20$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $20$ . For $\frac{9}{10}$ , multiply both the numerator and the denominator by $2$ to get $\frac{18}{20}$ . For $\frac{3}{4}$ , multiply both the numerator and the denominator by $5$ to get $\frac{15}{20}$ .
Rewrite with Equivalent Fractions: Rewrite the expression with the equivalent fractions. $-\left(\frac{9}{10}\right) - \left(\frac{3}{4}\right)$ becomes $-\left(\frac{18}{20}\right) - \left(\frac{15}{20}\right)$ .
Subtract Fractions: Subtract the fractions. $\newline$ Since they have the same denominator, subtract the numerators and keep the denominator the same. $\newline$ $-\frac{18}{20} - \frac{15}{20} = -\frac{18 + 15}{20} = -\frac{33}{20}$ .
Simplify Result: Simplify the fraction, if possible. $\newline$ The fraction $-\frac{33}{20}$ is already in simplest form because $33$ and $20$ have no common factors other than $1$ .

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