How to solve 9/11 - 1/2 ÷ 1/5 + 7/22?

Are there supposed to be parentheses in the expression?

If not, you would first divide 1/2 by 1/5:

(1/2) / (1/5)

Invert and multiply:

(1/2) * 5 = 5/2

You'd next subtract that from 9/11:

9/11 - 5/2

Make the into fractions with a common denominator:

18/22 - 55/22 = -37/22

Finally, add that to 7/22:

-37/22 + 7/22 = -30/22 which reduces to -15/11 or -1 4/11 as a mixed number.

If the problem is actually (9/11 - 1/2) ÷ (1/5 + 7/22), you'd need to figure each term separately:

(18/22 - 11/22) / (22/110 + 35/110)

(7/22) / (57/110)

Invert and multiply:

(7/22) * (110/57)

770 / 1254 which reduces to 385 / 627 (This may reduce further.)

By PEMDAS (order of operations)

Division comes before Addition or Subtraction.

So this equation is basically (9/11) - (1/2 / 1/5) + (7/22).

You can do the calculations from there right?

Hope that helped.

you divide first and then add and subtract

1/2 divide by 1/5 = 5/2

(convert to same denominator)

9/11 - 5/2 + 7/22
= 18/22 - 55/22 + 7/22
= -30/22

= -1.36

1.03636364

Find a common denominator for all the fractions, which happens to be 110, which will then all cancel out leaving:

90 - 55 /22 + 35 = 35 / 57 = 0.614

AS WRITTEN this question MUST be read as :-
9/11 - (1/2 ÷ 1/5) + 7/22
18/22 + 7/22 - (5/2)
25/22 - 5/2
25/22 - 55/22
- 30/22

I have a feeling that you have presented the question incorrectly ?

9/11 - 1/2 ÷ 1/5 + 7/22
= 9/11 - 1/2 x 5/1 + 7/22
= 9/11 - 5/2 + 7/22
= (9 x 2)/(11 x 2) + (5 x 11)/(2 x 11) + 7/22
= 18/22 + 55/22 + 7/22
= 80/22
= 40/11
= 3 7/11

9/11 - 1/2 / 1/5 + 7/22
90/110 - 55/110 / 22/110 + 35/110

90 - 55 / 22 + 35
90 - 2.5 + 35
90 - 37.5
52.5

9/11 - 1/2 / 1/5 + 7/22 = 52.5/110
9/11 - 1/2 / 1/5 + 7/22 = 105/220

9/11-1/2=(18-11)/22=7/22
1/5+7/22=(22+35)/110=57/110
then (7/22 )/(57/110)=(7x110)/(22x57)=
=(7x5x22)/(22x57)=35/57
in decimal form it is 0.614