Question

(6 3/8+4 4/8)-1 13-5/6 9/8+1 2/8+3/8 6 3/8+7 5/7 9 6/9-3 7/8 1-4/6

Answer 1

Ответ:

Пошаговое объяснение:

(6 3/8+4 4/8)-1 =10 7/8-1 =9 7/8

13-5/6=12 1/6

9/8+1 2/8+3/8=1 14/8=2 3/4

6 3/8+7 5/7=6 21/56+7 40/56=

13 61/56=14 5/56

9 6/9-3 7/8 =9 48/72-3 63/72=6-15/72=5 57/72=5 19/24

1-4/6=2/6=1/3

Answer 2

Let's solve the expression step by step:

Step 1: Add the mixed numbers and whole numbers separately.

6 3/8 + 4 4/8 = 10 7/8 9 6/9 = 10 2/3

Step 2: Subtract 1 from 10 7/8 and 10 2/3.

10 7/8 - 1 = 9 7/8 10 2/3 - 1 = 9 2/3

Step 3: Add the fractions.

5/6 + 9/8 + 1 2/8 + 3/8 = (5/6) + (9/8) + (10/8) + (3/8) = 5/6 + 22/8 = (5/6) + (11/4) = (10/12) + (33/12) = 43/12

Step 4: Add the mixed numbers and whole numbers separately.

6 3/8 + 7 5/7 = 13 8/8 + 7 5/7 = 13 1 + 7 5/7 = 20 5/7

Step 5: Subtract the fraction.

9 6/9 - 3 7/8 = 10 2/3 - 3 7/8 = 9 2/3 - 3 7/8

To subtract fractions, you need a common denominator. The common denominator for 3 and 8 is 24.

9 2/3 = (9 * 3 + 2)/3 = 29/3 3 7/8 = (3 * 8 + 7)/8 = 31/8

Now, find the common denominator:

29/3 - 31/8 = (29 * 8 - 31 * 3)/(3 * 8) = (232 - 93)/24 = 139/24

Step 6: Subtract the fractions.

1 - 4/6 = 1 - 2/3 = (3 * 1 - 2)/3 = 1/3

Now, add all the results:

(9 7/8) + (43/12) + (20 5/7) + (139/24) + (1/3) = 10 + 43/12 + 20 + 139/24 + 1/3

To add fractions with different denominators, find a common denominator. The least common multiple (LCM) of 12 and 24 is 24.

10 + (43/12) + 20 + (139/24) + (1/3) = (240/24) + (86/24) + (480/24) + (139/24) + (8/24)

Now, add the fractions:

(240 + 86 + 480 + 139 + 8)/24 = 953/24

The final result of the expression is:

953/24