Question

2/9 +4 целых 5/6-1/18

Answer 1

$\frac{2}{9}+ \frac{29}{6}- \frac{1}{18}=5$

Answer 2

To solve the expression, let's break it down step by step:

1. 2/9 + 4 The first step is to add the whole numbers. 2/9 + 4 = 4 + 2/9.

2. 4 + 2/9 Now, we add the fraction to the whole number. To do this, we need a common denominator for the whole number (4) and the fraction (2/9). The common denominator is 9.

   4 + 2/9 = (4 * 9)/9 + 2/9 = 36/9 + 2/9 = (36 + 2)/9 = 38/9

So, 2/9 + 4 = 38/9.

Next part of the expression:

3. 5/6 - 1/18 To subtract fractions, we need a common denominator. The common denominator for 6 and 18 is 18.

   5/6 - 1/18 = (5 * 3)/18 - 1/18 = 15/18 - 1/18 = (15 - 1)/18 = 14/18

Now, we can simplify the fraction. The greatest common divisor (GCD) of 14 and 18 is 2, so we can divide both the numerator and the denominator by 2:

14/18 = (14 ÷ 2)/(18 ÷ 2) = 7/9

So, 5/6 - 1/18 = 7/9.

Now, the final expression:

2/9 + 4 - (5/6 - 1/18)

We already calculated 2/9 + 4 as 38/9 and 5/6 - 1/18 as 7/9. So, the final expression is:

38/9 - 7/9

To subtract the fractions, they need a common denominator, which is 9:

38/9 - 7/9 = (38 - 7)/9 = 31/9

So, the final result is 31/9.