Question

Hi please help me with my math homework​

Answer 1

`(23)/(8)=2(7)/(8)`

Explanation:

`-2(5)/(9)* \:1(1)/(8)`

Step 1: Convert into an improper fraction

`2(5)/(9)=(2* 9+5)/(9)\\\\=(23)/(9)`

`-(23)/(9)* \:1(1)/(8)`

`1(1)/(8)=(1* 8+1)/(8)\\\\=(9)/(8)`

`-(23)/(9)* (9)/(8)`

Step 2: Cross-cancel 9

`=-(23)/(8)`

Step 3: Convert to an improper fraction

`(23)/(8)=2(7)/(8)\\\\2(7)/(8)`

Answer 2

9514 1404 393

Answer:

-2 7/8

Explanation:

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

`-2(5)/(9)*1(1)/(8)=-(9\cdot2+5)/(9)*(8\cdot1+1)/(8)\\\\=-(23\cdot9)/(9\cdot8)=-(23)/(8)=\boxed{-2(7)/(8)}`

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