Question

В) 8 3/17 × 5 1/4 + 3 14/17 ×5 1/4 г) 3 4/13 × 15 3/41 - 3 4/13 × 2 3/41 д) (2 3/4 + 4 1/8) × 1 5/11 помогите пожалуйста

Answer 1

В)  1) 83/17 х 51/4 =249/4
     2) 314/17 х 51/4 = 942/4
     3) 249/4 + 942/4 = 1191/4 =297,75
г)  1) 34/13 х 153/41 = 5202/533
     2) 34/13 х 23/41 = 782/ 533
     3) 5202/533 + 782/533 = 5984/533 = 11,227017 
д)  1) 23/4 + 41/8 =87/8
     2) 87/8 х 15/11 = 1305/88 = 14,829545

Answer 2

Calculation A: 8 3/17 × 5 1/4

To calculate the product of 8 3/17 and 5 1/4, we can convert both mixed numbers to improper fractions and then multiply them.

8 3/17 can be converted to the improper fraction (8 * 17 + 3) / 17 = 139/17.

5 1/4 can be converted to the improper fraction (5 * 4 + 1) / 4 = 21/4.

Now, we can multiply the two fractions:

(139/17) × (21/4) = (139 × 21) / (17 × 4) = 2919/68.

Therefore, the result of 8 3/17 × 5 1/4 is 2919/68.

Calculation B: 3 14/17 × 5 1/4

To calculate the product of 3 14/17 and 5 1/4, we can follow the same steps as in Calculation A.

3 14/17 can be converted to the improper fraction (3 * 17 + 14) / 17 = 65/17.

5 1/4 can be converted to the improper fraction (5 * 4 + 1) / 4 = 21/4.

Now, we can multiply the two fractions:

(65/17) × (21/4) = (65 × 21) / (17 × 4) = 1365/68.

Therefore, the result of 3 14/17 × 5 1/4 is 1365/68.

Calculation C: 3 4/13 × 15 3/41 - 3 4/13 × 2 3/41

To calculate the difference between the products of 3 4/13 × 15 3/41 and 3 4/13 × 2 3/41, we can follow the same steps as in Calculation A.

3 4/13 can be converted to the improper fraction (3 * 13 + 4) / 13 = 43/13.

15 3/41 can be converted to the improper fraction (15 * 41 + 3) / 41 = 618/41.

2 3/41 can be converted to the improper fraction (2 * 41 + 3) / 41 = 85/41.

Now, we can calculate the two products:

(43/13) × (618/41) = (43 × 618) / (13 × 41) = 26574/533.

(43/13) × (85/41) = (43 × 85) / (13 × 41) = 3655/533.

Finally, we can subtract the two products:

(26574/533) - (3655/533) = 22919/533.

Therefore, the result of (3 4/13 × 15 3/41) - (3 4/13 × 2 3/41) is 22919/533.

Calculation D: (2 3/4 + 4 1/8) × 1 5/11

To calculate the sum of 2 3/4 and 4 1/8, we can follow the same steps as in Calculation A.

2 3/4 can be converted to the improper fraction (2 * 4 + 3) / 4 = 11/4.

4 1/8 can be converted to the improper fraction (4 * 8 + 1) / 8 = 33/8.

Now, we can calculate the sum:

(11/4) + (33/8) = (11 × 2 + 33) / 8 = 55/8.

To calculate the product of 55/8 and 1 5/11, we can follow the same steps as in Calculation A.

1 5/11 can be converted to the improper fraction (1 * 11 + 5) / 11 = 16/11.

Now, we can multiply the two fractions:

(55/8) × (16/11) = (55 × 16) / (8 × 11) = 880/88 = 10.

Therefore, the result of (2 3/4 + 4 1/8) × 1 5/11 is 10.

I hope this helps! Let me know if you have any further questions.