Question

9/10:15/16-16/25*(2/3+7/12​

Answer 1

Ответ:

0,5477896825396825

(пиши если что не так;)

Answer 2

To simplify the expression 9/10 - 15/16 - 16/25 * (2/3 + 7/12), you should follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's how you can simplify it step by step:

1. Start with the innermost parentheses:

2/3 + 7/12 = (8/12) + (7/12) = 15/12

2. Now, rewrite the expression with the simplified parentheses:

9/10 - 15/16 - 16/25 * (15/12)

3. Next, simplify the multiplication:

16/25 * (15/12) = (16 * 15) / (25 * 12) = 240/300

4. Reduce the fraction 240/300 to its simplest form:

240/300 = (2 * 120) / (2 * 150) = 2/2 * 120/150 = 1 * 4/5 = 4/5

5. Now, replace the multiplication in the original expression with the simplified fraction:

9/10 - 15/16 - 4/5

6. Find a common denominator to combine the fractions:

To find a common denominator, you can use the least common multiple (LCM) of 10, 16, and 5, which is 80.

7. Rewrite the fractions with the common denominator:

(9/10) * (8/8) - (15/16) * (5/5) - (4/5) * (16/16)

8. Perform the multiplications:

(72/80) - (75/80) - (64/80)

9. Now, subtract the fractions:

(72/80) - (75/80) - (64/80) = (72 - 75 - 64) / 80 = (-67/80)

So, the simplified result is -67/80.