Question

3 9/14:2 1/7 - 4 8/9 *3 3/11 +6 3/5​

Answer 1

Ответ:   -7,7.

Пошаговое объяснение:

3 9/14:2 1/7 - 4 8/9 *3 3/11 +  6 3/5​=   -7,7.

1)  3 9/14 : 2 1/7 = 51/14 : 15/7 =  51/14 * 7/15 = 51/30 =17/10=1.7;

2) 4 8/9 *3 3/11=  44/9 * 36/11= 16;

3)  1.7 - 16 = -14,3;

4)   -14.3 + 6.6 = -7,7.

Answer 2

To solve the expression $3 \frac{9}{14} : 2 \frac{1}{7} - 4 \frac{8}{9} \times 3 \frac{3}{11} + 6 \frac{3}{5},$ we'll follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Let's break it down step by step:

Step 1: Perform the division and multiplication $3 \frac{9}{14} : 2 \frac{1}{7} = \left(3 + \frac{9}{14}\right) \div \left(2 + \frac{1}{7}\right)$ $= \frac{45}{14} \div \frac{15}{7} = \frac{45}{14} \times \frac{7}{15}$ $= \frac{9}{2}$

Next, multiply: $4 \frac{8}{9} \times 3 \frac{3}{11} = \left(4 + \frac{8}{9}\right) \times \left(3 + \frac{3}{11}\right)$ $= \frac{41}{9} \times \frac{38}{11}$ $= \frac{7798}{99}$

Step 2: Perform addition and subtraction Now, we'll perform the addition and subtraction in the original expression: $3 \frac{9}{14} : 2 \frac{1}{7} - 4 \frac{8}{9} \times 3 \frac{3}{11} + 6 \frac{3}{5}$ $= \frac{9}{2} - \frac{7798}{99} + 6 \frac{3}{5}$

To perform these operations, we need a common denominator: $=\frac{9 \times 495}{2 \times 495} - \frac{7798}{99} + \frac{2970}{5 \times 99}$ $=\frac{4455}{990} - \frac{7798}{99} + \frac{594}{99}$

Now, let's combine the fractions: $=\frac{4455 - 7798 + 594}{990}$ $=\frac{-2749}{990}$

This fraction can be simplified further, if needed.