Question

Выполните деиствия1) 7 5/16 +8 3/16, 2) 5 10/13 +4 11/13, 3) 9 25/32- 7 22/32, 4) 14 -3/19, 6 1/7-4 5/7, (4 21/15+6 8/23)-3 21/23

Answer 1

Ответ:

1.)0.9875 2.)0,70846153846 3.)0,0634375 4.)12,9101851523

Пошаговое объяснение:

Answer 2

Calculation 1: 7 5/16 + 8 3/16

To calculate 7 5/16 + 8 3/16, we need to add the whole numbers and the fractions separately.

Adding the whole numbers: 7 + 8 = 15

Adding the fractions: 5/16 + 3/16 = 8/16 = 1/2

Therefore, 7 5/16 + 8 3/16 = 15 1/2.

Calculation 2: 5 10/13 + 4 11/13

To calculate 5 10/13 + 4 11/13, we follow the same process as above.

Adding the whole numbers: 5 + 4 = 9

Adding the fractions: 10/13 + 11/13 = 21/13

Since the fraction 21/13 is improper, we can simplify it by dividing the numerator by the denominator: 21 ÷ 13 = 1 remainder 8

So, 21/13 can be written as 1 8/13.

Therefore, 5 10/13 + 4 11/13 = 9 1 8/13.

Calculation 3: 9 25/32 - 7 22/32

To calculate 9 25/32 - 7 22/32, we subtract the whole numbers and the fractions separately.

Subtracting the whole numbers: 9 - 7 = 2

Subtracting the fractions: 25/32 - 22/32 = 3/32

Therefore, 9 25/32 - 7 22/32 = 2 3/32.

Calculation 4: 14 - 3/19

To calculate 14 - 3/19, we subtract the fraction from the whole number.

Subtracting the fraction: 14 - 3/19 = 14 - (3/19)

Since we cannot subtract fractions directly, we need to find a common denominator. In this case, the common denominator is 19.

Converting 14 to a fraction with a denominator of 19: 14 = 14/1

Subtracting the fractions: 14/1 - 3/19 = (14*19)/(1*19) - 3/19 = 266/19 - 3/19 = 263/19

Therefore, 14 - 3/19 = 263/19.

Calculation 5: 6 1/7 - 4 5/7

To calculate 6 1/7 - 4 5/7, we subtract the whole numbers and the fractions separately.

Subtracting the whole numbers: 6 - 4 = 2

Subtracting the fractions: 1/7 - 5/7 = -4/7

Therefore, 6 1/7 - 4 5/7 = 2 - 4/7.

Calculation 6: (4 21/15 + 6 8/23) - 3 21/23

To calculate (4 21/15 + 6 8/23) - 3 21/23, we first perform the addition inside the parentheses.

Adding the whole numbers: 4 + 6 = 10

Adding the fractions: 21/15 + 8/23 = (21*23)/(15*23) + 8/23 = 483/345 + 8/23 = (483 + 8*345)/(345*23) = 483/345 + 2760/345 = (483 + 2760)/345 = 3243/345

Now, we subtract 3 21/23 from the result.

Subtracting the whole numbers: 10 - 3 = 7

Subtracting the fractions: 3243/345 - 21/23 = (3243*23)/(345*23) - 21/23 = 74689/7935 - 21/23 = (74689 - 21*7935)/7935 = 74689/7935 - 174135/7935 = (74689 - 174135)/7935 = -99446/7935

Therefore, (4 21/15 + 6 8/23) - 3 21/23 = 7 - 99446/7935.