Question

a) 1/5 + 4/11 + 4/5 + 7/11
b) 5/6 + (9/5 - 1/4)

Answer 1

a) \(\dfrac{1}{5}+\dfrac{4}{11}+\dfrac{4}{5}+\dfrac{7}{11}=\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\left(\dfrac{4}{11}+\dfrac{7}{11}\right)=1+1=2\)

b) \(\dfrac{5}{6}+\left(\dfrac{9}{5}-\dfrac{1}{4}\right)=\dfrac{5}{6}+\left(\dfrac{36}{20}-\dfrac{5}{20}\right)=\dfrac{5}{6}+\dfrac{31}{20}=\dfrac{143}{60}\)

Answer 2

a)2

b) 2\(\dfrac{23}{60}\)

Answer 3

a: =1/5+4/5+4/11+7/11=1+1=2

b: =5/6+9/5-1/4

=50/60+108/60-15/60

=143/60

Answer 4

`a, = (1/5 + 4/5) + (4/11 + 7/11)`

`= 1 + 1 `

`= 2`.

b, `5/6 - 31/20`

`= -43/60`.

Answer 5

a) 1/5 + 4/11 + 4/5 + 7/11

= (1/5+4/5)-(4/11+7/11)

=       1       -1

=0
b) 5/6 + (9/5 - 1/4)

=5/6 +       31/20

=    143/60

Answer 6

\(a,\) \(\dfrac{1}{5}+\dfrac{4}{11}+\dfrac{4}{5}+\dfrac{7}{11}=\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\left(\dfrac{4}{11}+\dfrac{7}{11}\right)=\dfrac{5}{5}+\dfrac{11}{11}=1+1=2\)  

\(b,\) \(\dfrac{5}{6}+\left(\dfrac{9}{5}-\dfrac{1}{4}\right)=\dfrac{5}{6}+\dfrac{31}{20}=\dfrac{143}{60}\)