Question

`b. B = ( 1/6 + 5/12 ) + 7/12`

`c. C = 5/7 + 3/4 + 1/5 + 2/7 + 1/4`

Answer 1

`b)` `B=(1/6+5/12)+7/12`

`B=1/6 + 5/12 + 7/12`

`B=1/6 + (5/12 + 7/12)`

`B=1/6 + 12/12`

`B=1/6 + 1`

`B=1/6 + 6/6`

`B=7/6`

`c)` `C=5/7 + 3/4 + 1/5 + 2/7 + 1/4`

`C=(5/7 + 2/7) +(3/4 + 1/4) + 1/5`

`C=7/7 + 4/4 + 1/5`

`C=1+1+1/5`

`C=2+1/5`

`C=11/5`

Answer 2

\(B=\dfrac{1}{6}+\left(\dfrac{5}{12}+\dfrac{7}{12}\right)=\dfrac{1}{6}+1=\dfrac{1}{6}+\dfrac{6}{6}=\dfrac{7}{6}\)
\(C=\left(\dfrac{5}{7}+\dfrac{2}{7}\right)+\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\dfrac{1}{5}=1+1+\dfrac{1}{5}=\dfrac{5}{5}+\dfrac{5}{5}+\dfrac{1}{5}=\dfrac{11}{5}\)