Question

Вычислите 3 1/8-2 2/3+1/6; 4 3/5-2+1/10.​

Answer 1

Ответ:

15/24

3 7/10

Пошаговое объяснение:

Answer 2

To perform these calculations, we need to convert the mixed numbers into improper fractions, then apply the appropriate operations. Let's start with the first expression:

1. 3 1/8 - 2 2/3 + 1/6

Step 1: Convert mixed numbers to improper fractions. 3 1/8 = (3 * 8 + 1)/8 = 25/8 2 2/3 = (2 * 3 + 2)/3 = 8/3

Step 2: Perform the operations. 25/8 - 8/3 + 1/6

Step 3: Find a common denominator (the least common multiple of 8 and 3 is 24). (25/8) * (3/3) - (8/3) * (8/8) + (1/6) * (4/4) (75/24) - (64/24) + (4/24)

Step 4: Combine the fractions. (75 - 64 + 4)/24 (15 + 4)/24 19/24

So, the result of the first expression is 19/24.

Now let's move on to the second expression:

2. 4 3/5 - 2 + 1/10

Step 1: Convert the mixed number to an improper fraction. 4 3/5 = (4 * 5 + 3)/5 = 23/5

Step 2: Perform the operations. 23/5 - 2 + 1/10

Step 3: Find a common denominator (the least common multiple of 5 and 10 is 10). (23/5) * (2/2) - (2 * 5/5) + 1/10 (46/10) - 10/10 + 1/10

Step 4: Combine the fractions. (46 - 10 + 1)/10 37/10

So, the result of the second expression is 37/10.