Question

What is the product of mixed number 2 x 2 7/8?

Answer 1

`5(3)/(4)`

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Since we have to convert mixed numbers to fractions,
`2(7)/(8)` becomes
`(23)/(8)`

And for whole number, add a 1 as the denominator.

`(2)/(1)`

Now, the equation becomes...

`(2~*~23)/(1~*~8)`

`2 * 23 = 46`

`1 * 8 = 8`

Convert these two numbers to a fraction.

`46~and~8~-- > ~(46)/(8)`

Simplify 46 over 8 and make it a mixed number.

`(46)/(8) -- > 5(3)/(4)`

why is the denominator 4? we had to simplify 8 using its GCF along with 46

the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.

`(46)/(2) = 23\\\\(8)/(2) = 4`

now you have
`(23)/(4)`

and that, in mixed number, translates to
`5(3)/(4)`

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