Question

Выполните действие: 1) 1целая 3/5 • 3/4 +1целая 3/8= 2) 13целых 4/5 - 3целых 1/5• 3целых 3/4= 3) 1целая 3/25•2целых 1/7- 2целых 1/9• 27/190 4) 4целых 7/12• 1целая 3/11+ 1целая 1/15• 45/64= 5) 15целых 4/9-4целых 4/9• 3целых 3/8= 6) 81/88•(6-1целая 13/15•1целая 19/21)= 7) 5/16•4/5•9/25•5/9= 8) 19/25•40/57•5/36• •9/16= 9) 2целых2/3•1/5•3/4•10= 10) 18целых 1/3• 1целая 2/11•1целая 4/5 •15=

Answer 1

1) = 8/5 * 3/4 + 1 3/8 = 6/5 + 1 3/8 = 48/40 + 1 15/40 = 48/40 + 55/40 = 103/40 = 2 23/40
2) = 10 3/5 * 3 3/4 = 53/5 * 15/4 = 159/4 = 39 3/4
3) = 28/25 * 15/7 - 19/9 * 27/190 = 12/5 - 3/10 = 24/10 - 3/10 = 21/10 = 2 1/10
4) = 55/12 * 14/11 + 16/15 * 45/64 = 35/5 + 3/4 = 7 + 3/4= 7 3/4
5) = 11 * 27/8 = 297/88 = 3 33/88 = 3 3/8
6) = 81/88 * (6 - 28/15 * 40/21) = 81/88 * (6 - 32/9) = 81/88 * (6 - 3 5/9) = 81/88 * 2 4/9 = 81/88 * 22/9 = 9/4 = 2 1/4
7) = 1/4 * 1/5 = 1/20
8) = 8/15 * 5/64 = 1/24
9) = 8/3 * 1/5 * 3/4 * 10 = 2/1 * 2/1 = 4/1 = 4
10) = 55/3 * 13/11 * 9/5 * 15/1 = 65/3 * 9/5 * 15/1 = 39/1 * 15/1 = 585

Answer 2

1) To solve the equation: 1 3/5 • 3/4 + 1 3/8, we can convert the mixed numbers into improper fractions.

First, convert 1 3/5 into an improper fraction: 1 3/5 = (1 * 5 + 3) / 5 = 8/5

Next, convert 1 3/8 into an improper fraction: 1 3/8 = (1 * 8 + 3) / 8 = 11/8

Now, we can multiply the fractions and add the results: (8/5) • (3/4) + (11/8) = (8/5) * (3/4) + (11/8) = (24/20) + (11/8) = 24/20 + 33/20 = (24 + 33)/20 = 57/20

Therefore, the solution to the equation 1 3/5 • 3/4 + 1 3/8 is 57/20.

2) To solve the equation: 13 4/5 - 3 1/5 • 3 3/4, we can follow similar steps.

Convert 13 4/5 into an improper fraction: 13 4/5 = (13 * 5 + 4) / 5 = 69/5

Convert 3 1/5 into an improper fraction: 3 1/5 = (3 * 5 + 1) / 5 = 16/5

Convert 3 3/4 into an improper fraction: 3 3/4 = (3 * 4 + 3) / 4 = 15/4

Now, subtract the results: 69/5 - (16/5) • (15/4) = 69/5 - (16/5) * (15/4) = 69/5 - 240/20 = 69/5 - 12 = (69 - 60)/5 = 9/5

Therefore, the solution to the equation 13 4/5 - 3 1/5 • 3 3/4 is 9/5.

3) To solve the equation: 1 3/25 • 2 1/7 - 2 1/9 • 27/190, follow the same steps.

Convert 1 3/25 into an improper fraction: 1 3/25 = (1 * 25 + 3) / 25 = 28/25

Convert 2 1/7 into an improper fraction: 2 1/7 = (2 * 7 + 1) / 7 = 15/7

Convert 2 1/9 into an improper fraction: 2 1/9 = (2 * 9 + 1) / 9 = 19/9

Now, multiply the fractions and subtract the results: (28/25) • (15/7) - (19/9) • (27/190) = (28/25) * (15/7) - (19/9) * (27/190) = 420/175 - 45/9 = 420/175 - 45/9 = 420/175 - 875/175 = (420 - 875)/175 = -455/175

Therefore, the solution to the equation 1 3/25 • 2 1/7 - 2 1/9 • 27/190 is -455/175.

4) To solve the equation: 4 7/12 • 1 3/11 + 1 1/15 • 45/64, follow the same steps.

Convert 4 7/12 into an improper fraction: 4 7/12 = (4 * 12 + 7) / 12 = 55/12

Convert 1 3/11 into an improper fraction: 1 3/11 = (1 * 11 + 3) / 11 = 14/11

Convert 1 1/15 into an improper fraction: 1 1/15 = (1 * 15 + 1) / 15 = 16/15

Now, multiply the fractions and add the results: (55/12) • (14/11) + (16/15) • (45/64) = (55/12) * (14/11) + (16/15) * (45/64) = 770/132 + 720/960 = 770/132 + 720/960 = 770/132 + 720/960 = (770 * 960 + 720 * 132)/(132 * 960) = 739200/126720 + 95040/126720 = (739200 + 95040)/126720 = 834240/126720 = 65/9

Therefore, the solution to the equation 4 7/12 • 1 3/11 + 1 1/15 • 45/64 is 65/9.

5) To solve the equation: 15 4/9 - 4 4/9 • 3 3/8, follow the same steps.

Convert 15 4/9 into an improper fraction: 15 4/9 = (15 * 9 + 4) / 9 = 139/9

Convert 4 4/9 into an improper fraction: 4 4/9 = (4 * 9 + 4) / 9 = 40/9

Convert 3 3/8 into an improper fraction: 3 3/8 = (3 * 8 + 3) / 8 = 27/8

Now, subtract the results: 139/9 - (40/9) • (27/8) = 139/9 - (40/9) * (27/8) = 139/9 - 1080/72 = 139/9 - 15/1 = (139 - 135)/9 = 4/9

Therefore, the solution to the equation 15 4/9 - 4 4/9 • 3 3/8 is 4/9.

6) To solve the equation: 81/88 • (6 - 1 13/15 • 1 19/21), follow the same steps.

Convert 1 13/15 into an improper fraction: 1 13/15 = (1 * 15 + 13) / 15 = 28/15

Convert 1 19/21 into an improper fraction: 1 19/21 = (1 * 21 + 19) / 21 = 40/21

Now, subtract the mixed numbers and multiply the fractions: (6 - (28/15) * (40/21)) = (6 - (28/15) * (40/21)) = (6 - (1120/315)) = (6 - 16/5) = (30/5 - 16/5) = 14/5

Therefore, the solution to the equation 81/88 • (6 - 1 13/15 • 1 19/21) is 14/5.

7) To solve the equation: 5/16 • 4/5 • 9/25 • 5/9, simply multiply the fractions:

(5/16) • (4/5) • (9/25) • (5/9) = (5 * 4 * 9 * 5) / (16 * 5 * 25 * 9) = (5 * 4 * 9 * 5) / (16 * 5 * 25 * 9) = 100/7200 = 1/72

Therefore, the solution to the equation 5/16 • 4/5 • 9/25 • 5/9 is 1/72.

8) To solve the equation: 19/25 • 40/57 • 5/36 • 9/16, simply multiply the fractions:

(19/25) • (40/57) • (5/36) • (9/16) = (19 * 40 * 5 * 9) / (25 * 57 * 36 * 16) = (19 * 40 * 5 * 9) / (25 * 57 * 36 * 16) = 136800/12960000 = 17/1600

Therefore, the solution to the equation 19/25 • 40/57 • 5/36 • 9/16 is 17/1600.

9) To solve the equation: 2 2/3 • 1/5 • 3/4 • 10, follow the same steps.

Convert 2 2/3 into an improper fraction: 2 2/3 = (2 * 3 + 2) / 3 = 8/3

Now, multiply the fractions and the whole number: (8/3) • (1/5) • (3/4) • 10 = (8/3) * (1/5) * (3/4) * 10 = (8 * 1 * 3 * 10) / (3 * 5 * 4) = 240/60 = 4

Therefore, the solution to the equation 2 2/3 • 1/5 •