Question

( 3,1/2 - 2,2/3 + 5,5/6 + 4,3/5) * 24

Answer 1

Ответ:

62,24

Пошаговое объяснение:

Answer 2

To simplify the expression (3 1/2 - 2 2/3 + 5 5/6 + 4 3/5) * 24, you can first convert all the mixed numbers to improper fractions and then perform the arithmetic operations. Here's how you can do it step by step:

1. Convert mixed numbers to improper fractions:

   • 3 1/2 = (2 * 3 + 1)/2 = 7/2
   • 2 2/3 = (3 * 2 + 2)/3 = 8/3
   • 5 5/6 = (6 * 5 + 5)/6 = 35/6
   • 4 3/5 = (5 * 4 + 3)/5 = 23/5

2. Rewrite the expression with the improper fractions: (7/2 - 8/3 + 35/6 + 23/5) * 24

3. Find a common denominator for the fractions. In this case, the least common multiple (LCM) of 2, 3, 6, and 5 is 30.

4. Rewrite the fractions with a common denominator (30): (7/2 * 15/15 - 8/3 * 10/10 + 35/6 * 5/5 + 23/5 * 6/6) * 24

5. Perform the multiplications: (105/30 - 80/30 + 175/30 + 138/30) * 24

6. Combine the fractions: (105 - 80 + 175 + 138)/30 * 24

7. Perform the additions and subtractions: (338/30) * 24

8. Simplify the fraction by canceling common factors (in this case, the greatest common divisor is 2): (169/15) * 24

9. Multiply the fraction by 24: (169/15) * 24 = (169 * 24)/15

10. Calculate the final result: (169 * 24)/15 = 3384/15

So, the simplified expression is 3384/15. You can also express this as a mixed number if needed:

3384/15 = 225 9/15 = 225 3/5