Question

(ii)
9 1/3 x 27-1/2
3-1/6​

Answer 1

Answer:

3

6

1

×3

3

−2

9

3

1

×27

2

−1

=

3

6

1

×3

3

−2

(3

2

)

3

1

×(3

3

)

2

−1

=

3

6

1

×3

3

−2

3

3

2

×3

2

−3

(as(a

m

)

n

=a

mn

)

=

3

6

1

−

3

2

3

3

2

−

2

3

(asa

m

×a

n

=a

m+n

)

=

3

2

−1

3

6

−5

=3

6

−5

−(

2

−1

)

(as

a

n

a

m

=a

m−n

)

=3

2

1

−

6

5

=3

3

−1

Answer 2

Answer:

$9\frac{1}{3}\cdot \:27-1/23-1/6=251\frac{109}{138}$

Step-by-step explanation:

$9\frac{1}{3}\cdot \:27-1/23-1/6$

$=\frac{28}{3}\cdot \:27-1/23-1/6$

$\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}$

$=252-1/23-1/6$

$=252-\frac{1}{23}-1/6$

$=252-\frac{1}{23}-\frac{1}{6}$

$=\frac{34747}{138}$

$=251\frac{109}{138}$