Question

Hi guys please help meee

Last question but im having trouble answering it
Please dont just guess I really need this!!!

Answer 1

B. 10

Step-by-step explanation:

2 1/8 * 2 2/3

= 8 * 2 + 1 = 17

2 1/8 = 17/8

= 3 * 2 + 2 = 8

2 2/3 = 8/3

17/8 * 8/3

17 * 8 = 136

3 * 8 = 24

136/24 = 17/3 = 5 2/3

5 + 2 + 3 = 10

so I think B. 10 is the answer

Answer 2

Answer: 10

=======================================================

Step-by-step explanation:

We'll start off converting each mixed number into an improper fraction.

The formula to use is
`A (b)/(c) = (A*c+b)/(c)`

So,

`A (b)/(c) = (A*c+b)/(c)\\\\2 (1)/(8) = (2*8+1)/(8)\\\\2 (1)/(8) = (16+1)/(8)\\\\2 (1)/(8) = (17)/(8)\\\\`

And,

`A (b)/(c) = (A*c+b)/(c)\\\\2 (2)/(3) = (2*3+2)/(3)\\\\2 (2)/(3) = (6+2)/(3)\\\\2 (2)/(3) = (8)/(3)\\\\`

So the task of computing
`2 (1)/(8) * 2 (2)/(3)` is exactly the same as computing
`(17)/(8) * (8)/(3)`

Notice how we have an 8 up top and an 8 down below. Those 8's cancel out and we're left with
`(17)/(3)`. That fraction does not reduce any further.

The last step is to convert that improper fraction result to a mixed number.

`(17)/(3) = (15+2)/(3)\\\\(17)/(3) = (15)/(3)+(2)/(3)\\\\(17)/(3) = 5+(2)/(3)\\\\(17)/(3) = 5 (2)/(3)\\\\`

Or you could note that 17/3 leads to 5 remainder 2. The 5 is the whole part and the 2 forms the numerator of the fractional part 2/3.

The value is in
`A (b)/(c)` form where

• A = 5
• b = 2
• c = 3

Therefore, A+b+c = 5+2+3 = 10