Question

Show your work please please

Answer 1

Explanation:

1 1/4 + ( 3 2/3 + 5 3/4)

First change them from mixed fractions to normal fractions.

= 5/4 + ( 11/3 + 23/4)

Then Find the LCM(lowest common factor) of 4 and 3 which is 12 so we'll multiply both 4 and 3 to the number so the answer would be 12. and also if we multiply the denominator we do the same to the numerator.

= 5/4 + (44/12 + 69/12)

add them.

= 5/4 + (44 + 69/12)

now find their LCM and do the same to them since 4 is a factor of 12 we'll multiply it by 3 to get 12 as a denominator to add.

= 5/4 + 113/12

= 15/4 + 113/12

= 15 + 113/12

add them.

= 128/12

Divide both numerator and the denominator by the LCM.

= 64/6

= 32/3

Answer: 32/3 or in mixed fraction: 10 2/3

Answer 2

`9(2)/(3)`

Explanation:

`\displaystyle 1(1)/(4)+\biggr(3(2)/(3)+5(3)/(4)\biggr)\\\\1(3)/(12)+3(8)/(12)+5(9)/(12)\\\\(1+3+5)+\biggr((3)/(12)+(8)/(12)+(9)/(12)\biggr)\\\\9+(20)/(12)\\\\9+1(8)/(12)\\\\9+(2)/(3)\\\\9(2)/(3)`

Again, least common denominator is 3*4=12