Question

9 3/11-( 5 1/11 + 2)​

Answer 1

Пошаговое объяснение:

$9\frac{3}{11} -(5\frac{1}{11} +2) = 9\frac{3}{11} - 7\frac{1}{11} = 2\frac{2}{11}$

Answer 2

To solve the given expression, we need to follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's start step by step:

Step 1: Solve the expression inside the parentheses first.

$5 \frac{1}{11} + 2$

To add these two fractions, we need to find a common denominator, which is 11:

$5 \frac{1}{11} + 2 = \frac{5 \cdot 11}{11} + \frac{2 \cdot 11}{11} + \frac{1}{11} = \frac{55}{11} + \frac{22}{11} + \frac{1}{11} = \frac{78}{11}$

Step 2: Now that we have the expression inside the parentheses solved, we can proceed with the subtraction:

$9 \frac{3}{11} - \left( \frac{78}{11} \right)$

To subtract fractions, they should have a common denominator. The common denominator here is 11:

$9 \frac{3}{11} - \frac{78}{11}$

Now, the whole numbers and the fractions have the same denominator, so we can subtract them:

$9 - \frac{3}{11} - \frac{78}{11}$

Step 3: Subtract the fractions:

$9 - \frac{3 + 78}{11} = 9 - \frac{81}{11}$

Step 4: Convert the whole number to a fraction and subtract:

$9 - \frac{81}{11} = \frac{99}{11} - \frac{81}{11}$

Step 5: Subtract the fractions:

$\frac{99}{11} - \frac{81}{11} = \frac{99 - 81}{11} = \frac{18}{11}$

So, the result of the expression is $\frac{18}{11}$ or $1 \frac{7}{11}$ as an improper fraction.