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Answer:

  -2 7/8

Step-by-step explanation:

The usual recommendation is to convert the mixed numbers to improper fractions before multiplying.

  [tex]-2\dfrac{5}{9}\times1\dfrac{1}{8}=-\dfrac{9\cdot2+5}{9}\times\dfrac{8\cdot1+1}{8}\\\\=-\dfrac{23\cdot9}{9\cdot8}=-\dfrac{23}{8}=\boxed{-2\dfrac{7}{8}}[/tex]

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Note the factors of 9 cancel in the first expression on the last line, leaving -23/8.

Answer:

[tex]\frac{23}{8}=2\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]-2\frac{5}{9}\times \:1\frac{1}{8}[/tex]

Step 1: Convert into an improper fraction

[tex]2\frac{5}{9}=\frac{2\times 9+5}{9}\\\\=\frac{23}{9}[/tex]

[tex]-\frac{23}{9}\times \:1\frac{1}{8}[/tex]

[tex]1\frac{1}{8}=\frac{1\times 8+1}{8}\\\\=\frac{9}{8}[/tex]

[tex]-\frac{23}{9}\times \frac{9}{8}[/tex]

Step 2: Cross-cancel 9

[tex]=-\frac{23}{8}[/tex]

Step 3: Convert to an improper fraction

[tex]\frac{23}{8}=2\frac{7}{8}\\\\2\frac{7}{8}[/tex]

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