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

Answer 1

To simplify the expression, we first combine like terms.

\( \dfrac{9}{8}m - 2m = \dfrac{9}{8}m - \dfrac{16}{8}m = \dfrac{9-16}{8}m = -\dfrac{7}{8}m \)

Now, the expression becomes:

\( -\dfrac{7}{8}m + \dfrac{9}{10} - \dfrac{3}{5} \)

To add fractions, we need to find a common denominator for \( \dfrac{9}{10} \) and \( \dfrac{3}{5} \), which is 10 and multiply the first term by \( \dfrac{5}{5} \) and the second term by \( \dfrac{2}{2} \) to get the common denominator:

\( \dfrac{9}{10} = \dfrac{9 \times 1}{10 \times 1} = \dfrac{9}{10} \)

\( \dfrac{3}{5} = \dfrac{3 \times 2}{5 \times 2} = \dfrac{6}{10} \)

Now, the expression becomes:

\( -\dfrac{7}{8}m + \dfrac{9}{10} - \dfrac{6}{10} \)

Combine the terms:

\( -\dfrac{7}{8}m + \dfrac{9-6}{10} = -\dfrac{7}{8}m + \dfrac{3}{10} \)

Therefore, the simplified expression is \( -\dfrac{7}{8}m + \dfrac{3}{10} \).