Question

(8 1/9+5 2/3)-(5 2/10-3 3/11)=​

Answer 1

Ответ:

Пошаговое объяснение:

(8 1/9+5 2/3)-(5 2/10-3 3/11)=​((8+5)+(1/9+2/3))*(52/10-36/11)=(13+7/9)*106/55=13 7/9*106/55=124/9*105/55=13144/495=26,5

Answer 2

To solve the expression:

(8 1/9 + 5 2/3) - (5 2/10 - 3 3/11)

First, simplify each of the fractions within the parentheses:

8 1/9 = 73/9 5 2/3 = 17/3 5 2/10 = 26/10 = 13/5 3 3/11 = 36/11

Now, rewrite the expression with the simplified fractions:

(73/9 + 17/3) - (13/5 - 36/11)

Next, find a common denominator for each set of fractions. The common denominator for the first set is 9, and for the second set, it's 55.

Rewrite the fractions with the common denominators:

[(73/9) * (5/5) + (17/3) * (3/3)] - [(13/5) * (11/11) - (36/11) * (5/5)]

Now, calculate each part separately:

[(365/45) + (51/9)] - [(143/55) - (180/55)]

Now, add and subtract the fractions:

[(365/45 + 51/9)] - [(143/55 - 180/55)]

Now, simplify each part:

[(365/45 + 255/45)] - [-15/55]

Now, add and subtract the fractions:

[620/45] + [15/55]

Now, simplify further:

[124/9] + [3/11]

To add these fractions together, you need a common denominator, which is 99:

[(124/9) * (11/11)] + [(3/11) * (9/9)]

Now, calculate:

(1364/99) + (27/99)

Now, add these fractions:

(1364/99) + (27/99) = 1391/99

So, the result of the expression is:

1391/99