Question

Выполните действия 1) 3 1/9 : 2 1/3 - 2 5/6 2) 10 16/17 : 8 5/11 +1 2/3 3) 1 5/7 - 4 3/13 : 1 19/26 4) 47/48 : 3 13/27 - 13/16

Answer 1

3 1/9:2 1/3-2 5/6=28/9:7/3-17/6
28/9:7/3=28/9*3/7=4/3-17/6=-9/6=-1,5

Answer 2

Calculation 1: 3 1/9 : 2 1/3 - 2 5/6

To solve this calculation, we need to perform the following steps:

Step 1: Convert the mixed numbers to improper fractions. - 3 1/9 can be written as (3 * 9 + 1) / 9 = 28/9. - 2 1/3 can be written as (2 * 3 + 1) / 3 = 7/3. - 2 5/6 can be written as (2 * 6 + 5) / 6 = 17/6.

Step 2: Perform the subtraction operation. - (28/9) : (7/3) - (17/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (28/9) * (3/7) - (17/6)

Step 3: Simplify the fractions. - (28/9) * (3/7) - (17/6) = (28 * 3) / (9 * 7) - (17/6) = 84/63 - 17/6

Step 4: Find a common denominator. - The common denominator for 63 and 6 is 126.

Step 5: Convert the fractions to have the same denominator. - (84/63) * (2/2) - (17/6) * (21/21) = 168/126 - 357/126

Step 6: Perform the subtraction operation. - 168/126 - 357/126 = (168 - 357) / 126 = -189/126

Therefore, the result of the calculation 3 1/9 : 2 1/3 - 2 5/6 is -189/126.

Calculation 2: 10 16/17 : 8 5/11

To solve this calculation, we need to perform the following steps:

Step 1: Convert the mixed numbers to improper fractions. - 10 16/17 can be written as (10 * 17 + 16) / 17 = 186/17. - 8 5/11 can be written as (8 * 11 + 5) / 11 = 93/11.

Step 2: Perform the division operation. - (186/17) : (93/11)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (186/17) * (11/93)

Step 3: Simplify the fractions. - (186/17) * (11/93) = (186 * 11) / (17 * 93)

Step 4: Perform the multiplication operation. - (186 * 11) / (17 * 93) = 2046/1581

Therefore, the result of the calculation 10 16/17 : 8 5/11 is 2046/1581.

Calculation 3: 1 5/7 - 4 3/13 : 1 19/26

To solve this calculation, we need to perform the following steps:

Step 1: Convert the mixed numbers to improper fractions. - 1 5/7 can be written as (1 * 7 + 5) / 7 = 12/7. - 4 3/13 can be written as (4 * 13 + 3) / 13 = 55/13. - 1 19/26 can be written as (1 * 26 + 19) / 26 = 45/26.

Step 2: Perform the subtraction operation. - (12/7) - (55/13) : (45/26)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (12/7) - (55/13) * (26/45)

Step 3: Simplify the fractions. - (12/7) - (55/13) * (26/45) = (12/7) - (55 * 26) / (13 * 45)

Step 4: Perform the multiplication operation. - (12/7) - (55 * 26) / (13 * 45) = (12/7) - 1430/585

Step 5: Find a common denominator. - The common denominator for 7 and 585 is 4095.

Step 6: Convert the fractions to have the same denominator. - (12/7) * (585/585) - (1430/585)

Step 7: Perform the subtraction operation. - (12 * 585) / (7 * 585) - (1430/585) = 7020/4095 - 1430/585

Step 8: Find a common denominator. - The common denominator for 4095 and 585 is 8190.

Step 9: Convert the fractions to have the same denominator. - (7020/4095) * (2/2) - (1430/585) * (14/14) = 14040/8190 - 20020/8190

Step 10: Perform the subtraction operation. - 14040/8190 - 20020/8190 = (14040 - 20020) / 8190 = -59780/8190

Therefore, the result of the calculation 1 5/7 - 4 3/13 : 1 19/26 is -59780/8190.

Calculation 4: 47/48 : 3 13/27 - 13/16

To solve this calculation, we need to perform the following steps:

Step 1: Convert the mixed numbers to improper fractions. - 3 13/27 can be written as (3 * 27 + 13) / 27 = 94/27. - 47/48 and 13/16 are already in the form of fractions.

Step 2: Perform the subtraction operation. - (47/48) : (94/27) - (13/16)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (47/48) * (27/94) - (13/16)

Step 3: Simplify the fractions. - (47/48) * (27/94) - (13/16) = (47 * 27) / (48 * 94) - (13/16)

Step 4: Perform the multiplication operation. - (47 * 27) / (48 * 94) - (13/16) = 1269/4512 - (13/16)

Step 5: Find a common denominator. - The common denominator for 4512 and 16 is 72336.

Step 6: Convert the fractions to have the same denominator. - (1269/4512) * (16/16) - (13/16) * (4512/4512) = 20304/72336 - 58536/72336

Step 7: Perform the subtraction operation. - 20304/72336 - 58536/72336 = (20304 - 58536) / 72336 = -38232/72336

Therefore, the result of the calculation 47/48 : 3 13/27 - 13/16 is -38232/72336.