Question

(2/3+3/4+4/5)+(1/6+2/7+3/8)+(5/8+5/7+5/6)+(1/5+1/4+1/3)​

Answer 1

Ответ:

Пошаговое объяснение:

(2/3+3/4+4/5)+(1/5+1/4+1/3)​=1+1+1=3

2/3+1/3=1

3/4+1/4=1

4/5+1/5=1

(1/6+2/7+3/8)+(5/8+5/7+5/6)=1+1+1=3

1/6+5/6=1

2/7+5/7=1

3/8+5/8=1

3+3=6

Answer 2

To solve this expression, we need to add up all the fractions.

First, we need to find a common denominator for each group of fractions.

For the first group, we can find the common denominator by multiplying 3, 4, and 5 together, which gives us 60.

Then, we can convert each fraction in the first group to have a denominator of 60:

(2/3) * (20/20) = 40/60 (3/4) * (15/15) = 45/60 (4/5) * (12/12) = 48/60

Next, we can add these fractions together:

40/60 + 45/60 + 48/60 = 133/60

For the second group, we can find the common denominator by multiplying 6, 7, and 8 together, which gives us 336.

Then, we can convert each fraction in the second group to have a denominator of 336:

(1/6) * (56/56) = 56/336 (2/7) * (48/48) = 96/336 (3/8) * (42/42) = 126/336

Next, we can add these fractions together:

56/336 + 96/336 + 126/336 = 278/336

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 2:

278/336 = (139/168)

For the third group, we can find the common denominator by multiplying 8, 7, and 6 together, which gives us 336.

Then, we can convert each fraction in the third group to have a denominator of 336:

(5/8) * (42/42) = 210/336 (5/7) * (48/48) = 240/336 (5/6) * (56/56) = 280/336

Next, we can add these fractions together:

210/336 + 240/336 + 280/336 = 730/336

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 2:

730/336 = (365/168)

For the fourth group, we can find the common denominator by multiplying 5, 4, and 3 together, which gives us 60.

Then, we can convert each fraction in the fourth group to have a denominator of 60:

(1/5) * (12/12) = 12/60 (1/4) * (15/15) = 15/60 (1/3) * (20/20) = 20/60

Next, we can add these fractions together:

12/60 + 15/60 + 20/60 = 47/60

Now, we can add up the sums of each group of fractions:

133/60 + (139/168) + (365/168) + 47/60

To add these fractions, we need to find a common denominator. The least common multiple of 60, 168, and 336 is 10080.

We can convert each fraction to have a denominator of 10080:

(133/60) * (168/1680) = 299/1680 (139/168) * (60/60) = 139/168 (365/168) * (60/560) = 39/112 (47/60) * (168/1680) =