Question

1 4/27-8/27+4 9/27+6 14/27

Answer 1

1 4/27-8/27+4 9/27+6 14/27=6 6\27+4 9\27+6 14\27=12 20\27+4 9\27=16 29\27=17 1\27

Answer 2

1 4/27-8/27+4 9/27+6 14/27

Решение

1 4/27=27/27+4/27=31/27

4 9/27=4*27/27+9/27=117/27

6 14/27=6*27/27+14/27=176/27

тогда

31/27-8/27+117/27+176/27=(31-8+117+176)/27=316/27=11 целых 19/27

Answer 3

To solve the expression 1 + 4/27 - 8/27 + 4 + 9/27 + 6 + 14/27, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. First, we need to simplify the addition and subtraction of fractions: - 4/27 - 8/27 = -4/27 - 9/27 + 14/27 = 23/27

2. Next, we add up all the terms: - 1 + (-4/27) + 4 + (23/27) + 6 + (14/27)

To add fractions, we need to have a common denominator. In this case, the common denominator is 27. Let's convert all the terms to have a denominator of 27:

- 1 = 27/27 - -4/27 remains the same - 4 = 108/27 - 23/27 remains the same - 6 = 162/27 - 14/27 remains the same

Now, we can add up all the terms:

- 27/27 + (-4/27) + 108/27 + 23/27 + 162/27 + 14/27

Adding the numerators together, we get:

- (27 - 4 + 108 + 23 + 162 + 14)/27

Simplifying the numerator, we have:

- 330/27

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

- (330/6)/(27/6) = 55/3

Therefore, the expression 1 + 4/27 - 8/27 + 4 + 9/27 + 6 + 14/27 is equal to 55/3.

Please let me know if you have any further questions!