Question

33/50:(8/15-9/10)+3*1 4/15

Answer 1

Ответ:

33/50:(8/15-9/10)+3*1 4/15=1

Answer 2

To simplify the expression 33/50:(8/15-9/10)+3*14/15, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. First, simplify the expression inside the parentheses/brackets: 8/15 - 9/10

To find a common denominator between 15 and 10, you can use 30. So, you'll need to adjust both fractions:

(8/15) * (2/2) = 16/30 (9/10) * (3/3) = 27/30

Now, subtract these adjusted fractions:

16/30 - 27/30 = (16 - 27)/30 = -11/30

2. Now, the expression becomes:

33/50: (-11/30) + 3 * 14/15

3. Perform the division:

33/50 ÷ (-11/30) = 33/50 * (-30/11)

To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD), which is 11:

(33/11) * (-30/11) = 3 * (-30/11) = -90/11

4. Now, the expression becomes:

-90/11 + 3 * 14/15

5. Multiply 3 by 14/15:

3 * 14/15 = 42/15

6. Now, the expression becomes:

-90/11 + 42/15

7. To add these fractions, find a common denominator, which is 11 * 15 = 165. Adjust both fractions accordingly:

(-90/11) * (15/15) = -1350/165 (42/15) * (11/11) = 462/165

8. Now, add the adjusted fractions:

-1350/165 + 462/165 = (-1350 + 462)/165 = -888/165

9. Finally, simplify the fraction by dividing both the numerator and denominator by their GCD, which is 6:

(-888/6) / (165/6) = -148/27

So, the simplified value of the expression is -148/27.