Question

(-3 2/3+5 7/9)-( 2 1/8-3 7/12)​

Answer 1

(3 2/3+5 7/9)-(2 1/8-3 7/12)
Ищем НОК 3 и 9 это 9
(3 6/9+5 7/9) и ищем НОК 8 и 12 это 24
(3 6/9+5 7/9)-(2 3/24-3 14/24)= Сначала действие в первых скобках
8 13/9-(2 3/24-3 14/24)= теперь вторая скобка
8 13/9-тут что-то не вычестлить и мне кажется ты перепутала
8 13/9- (3 14/24-2 3/24)=8 13/9-1 11/24=
Ищем НОК 9 и 24 это 72
8 104/72-1 33/72=7 71/72
Надеюсь правильно! Можно лучший ответ если правильно? Удачи!❤️

Answer 2

To simplify the expression (-3 2/3 + 5 7/9) - (2 1/8 - 3 7/12), we'll first simplify each part separately and then perform the subtraction.

Let's start with (-3 2/3 + 5 7/9):

1. Convert both mixed numbers to improper fractions: -3 2/3 = -11/3 5 7/9 = 52/9

2. Add the fractions: (-11/3) + (52/9)

To add these fractions, you need a common denominator, which in this case is 9:

(-11/3) + (52/9)

To make the denominators the same, you can multiply the first fraction by 3/3 and the second fraction by 3/3:

(-11/3) * (3/3) + (52/9)

Now, the denominators are the same, and you can add the fractions:

(-33/9) + (52/9) = (-33 + 52)/9 = 19/9

Now, let's simplify the second part (2 1/8 - 3 7/12):

1. Convert both mixed numbers to improper fractions: 2 1/8 = 17/8 3 7/12 = 43/12

2. Subtract the fractions: (17/8) - (43/12)

To subtract these fractions, you need a common denominator, which in this case is 24:

(17/8) * (3/3) - (43/12) * (2/2)

Now, the denominators are the same, and you can subtract the fractions:

(51/24) - (86/24) = (51 - 86)/24 = -35/24

Now that you have simplified both parts, you can subtract them:

(19/9) - (-35/24)

To subtract fractions, you need a common denominator, which is 9 * 24 = 216:

(19/9) * (24/24) - (-35/24) * (9/9)

Now, the denominators are the same, and you can subtract the fractions:

(19 * 24)/(9 * 24) + (35 * 9)/(24 * 9)

(456/216) + (315/216)

Now, add the fractions:

(456 + 315)/216 = 771/216

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(771/3)/(216/3) = 257/72

So, the simplified result of the expression (-3 2/3 + 5 7/9) - (2 1/8 - 3 7/12) is 257/72.