Question

1 2/15 - 2 3/10 - 1 1/6​

Answer 1

Ответ:

Пошаговое объяснение:

ответ минус две целых одна третья

1  2/15-2  3/10 = -(2  9/30-1  4/30) = - 1  1/6-1  1/6= - (1  1/6  +  1  1/6)= - 2  1/3

Answer 2

To subtract mixed numbers, we need to follow these steps:

Step 1: Convert the mixed numbers to improper fractions. Step 2: Find a common denominator. Step 3: Subtract the fractions. Step 4: If the result is an improper fraction, convert it back to a mixed number (if needed).

Let's apply these steps to the expression you provided: 1 2/15 - 2 3/10 - 1 1/6

Step 1: Convert mixed numbers to improper fractions: 1 2/15 = (15 * 1 + 2) / 15 = 17 / 15 2 3/10 = (10 * 2 + 3) / 10 = 23 / 10 1 1/6 = (6 * 1 + 1) / 6 = 7 / 6

Step 2: Find a common denominator: In this case, the least common multiple (LCM) of the denominators 15, 10, and 6 is 30. So, we'll use 30 as the common denominator.

Step 3: Subtract the fractions:

1. First, we'll work with the first two fractions: (17 / 15) - (23 / 10)

To make the denominators equal, we'll convert both fractions to have a common denominator of 30: (17 / 15) * (2 / 2) = (34 / 30) (23 / 10) * (3 / 3) = (69 / 30)

Now we can subtract the fractions: (34 / 30) - (69 / 30) = -35 / 30

2. Next, we'll subtract the result from the third fraction: (-35 / 30) - (7 / 6)

To make the denominators equal, we'll convert both fractions to have a common denominator of 6: (-35 / 30) * (1 / 5) = (-7 / 6)

Now we can subtract the fractions: (-7 / 6) - (7 / 6) = -14 / 6

Step 4: Convert the result to a mixed number (if needed): The result, -14 / 6, is an improper fraction. To convert it to a mixed number, we divide the numerator by the denominator: -14 ÷ 6 = -2 with a remainder of -2.

The mixed number form is: -2 2/6

We can simplify this mixed number: -2 2/6 = -2 1/3

So, the final result of the expression is -2 1/3.