Respuesta :

Answer:

[tex]1 \frac{2}{5} m - \frac{3}{5} ( \frac{2}{3} m + 1)[/tex]

[tex] \frac{7}{5} m - \frac{3}{5} ( \frac{2}{3}m + 1) [/tex]

[tex] \frac{7}{5} m + ( - \frac{3}{5} \times \frac{2}{3} m) + ( - \frac{ 3}{5} \times 1)[/tex]

[tex] \frac{7}{5} m - \frac{2}{5} m - \frac{3}{5} [/tex]

[tex]m - \frac{ 3 }{5} [/tex]

1 (2/5)m - 3/5 (2/3m + 1)

Note: I put the 2/5 in brackets so you don’t get confused with the 1 beside it

•rearrange the mixed fraction [1 (2/5)m] to an improper fraction

= 7/5m - 3/5 (2/3m + 1)

•distribute the -3/5 with the values inside the bracket

= 7/5m - 6/15m - 3/5

• find the common factor for m variables

= 21/15m - 6/15m - 3/5

•subtract the numerators (top numbers of the fraction together) and leave the denominator the same

= 15/15m - 3/5

Since 15/15 is equal to one you can write it two ways

= 1m - 3/5 OR m - 3/5

The answer can also be written as:

1m + (-3/5) OR m + (-3/5)

All four of these work, but if it’s too confusing just go with the one you’re most comfortable with.

I hope this helps. If you have any questions, please let me know in the comments.
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