Combine like terms to create an equivalent expression. (9)/(8)m+(9)/(10)-2m-(3)/(5)

Identify Like Terms: Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power. In this expression, (9/8)m and -2m are like terms because they both contain the variable m to the first power. The constants (9/10) and -(3/5) are like terms as well.Combine Like Terms with Variable: Combine the like terms that contain the variable m. To combine (9/8)m and -2m, we need to find a common denominator. The common denominator for 8 and 1 (since -2m can be written as -2/1 * m) is 8. Convert -2m to -16/8 m so that both terms have the same denominator. (9/8)m - (16/8)m = (-7/8)mCombine Constant Terms: Combine the constant terms (9/10) and -(3/5). To combine these, we need to find a common denominator. The common denominator for 10 and 5 is 10. Convert -(3/5) to -(6/10) so that both terms have the same denominator. (9/10) - (6/10) = (3/10)Write Combined Expression: Write the combined expression using the results from the previous steps. The combined expression is (-7/8)m + (3/10).

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Combine like terms to create an equivalent expression.

(9)/(8)m+(9)/(10)-2m-(3)/(5)

Combine like terms to create an equivalent expression. $\newline$ $\frac{9}{8}m + \frac{9}{10} - 2m - \frac{3}{5}$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Combine like terms to create an equivalent expression.

\newline

\frac{9}{8}m + \frac{9}{10} - 2m - \frac{3}{5}

Identify Like Terms: Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power. In this expression, $(\frac{9}{8})m$ and $-2m$ are like terms because they both contain the variable $m$ to the first power. The constants $(\frac{9}{10})$ and $-\frac{3}{5}$ are like terms as well.
Combine Like Terms with Variable: Combine the like terms that contain the variable $m$ . To combine $\frac{9}{8}m$ and $-2m$ , we need to find a common denominator. The common denominator for $8$ and $1$ (since $-2m$ can be written as $-\frac{2}{1} \times m$ ) is $8$ . Convert $-2m$ to $-\frac{16}{8} m$ so that both terms have the same denominator. $\newline$ \frac{$9$}{$8$}m - \frac{$16$}{$8$}m = \left(-\frac{$7$}{$8$}\right)m
Combine Constant Terms: Combine the constant terms \((\frac{9}{10}) and $-(\frac{3}{5})$ . To combine these, we need to find a common denominator. The common denominator for $10$ and $5$ is $10$ . Convert $-(\frac{3}{5})$ to $-(\frac{6}{10})$ so that both terms have the same denominator. $\newline$ $(\frac{9}{10}) - (\frac{6}{10}) = (\frac{3}{10})$
Write Combined Expression: Write the combined expression using the results from the previous steps. The combined expression is $(-\frac{7}{8})m + (\frac{3}{10})$ .