Question

52/45-(3 3/5-1 3/4)-(6 2/3+4 4/5) ​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. First, simplify the fractions:
   • 3 3/5 can be converted to an improper fraction as (5*3 + 3)/5 = 18/5
   • 1 3/4 can be converted to an improper fraction as (4*1 + 3)/4 = 7/4
   • 6 2/3 can be converted to an improper fraction as (3*6 + 2)/3 = 20/3
   • 4 4/5 can be converted to an improper fraction as (5*4 + 4)/5 = 24/5

Now the expression becomes:

52/45 - (18/5 - 7/4) - (20/3 + 24/5)

2. Next, simplify within the parentheses:

• 18/5 - 7/4: To subtract these fractions, we need a common denominator, which is 20. So, convert both fractions to have a denominator of 20:
  • (18/5) * (4/4) = 72/20
  • (7/4) * (5/5) = 35/20

Now subtract: 72/20 - 35/20 = 37/20

• 20/3 + 24/5: To add these fractions, we need a common denominator, which is 15. So, convert both fractions to have a denominator of 15:
  • (20/3) * (5/5) = 100/15
  • (24/5) * (3/3) = 72/15

Now add: 100/15 + 72/15 = 172/15

3. Now the expression becomes:

52/45 - (37/20) - (172/15)

4. Finally, subtract the fractions:

To subtract these fractions, we need a common denominator, which is the least common multiple (LCM) of 20 and 15, which is 60. So, convert all fractions to have a denominator of 60:

• (52/45) * (4/4) = 208/180
• (37/20) * (3/3) = 111/60
• (172/15) * (4/4) = 688/60

Now subtract: 208/180 - 111/60 - 688/60

5. Combine the fractions:

(208 - 111 - 688) / 60 = (-591) / 60

6. Simplify further:

-591/60 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(-591 ÷ 3) / (60 ÷ 3) = -197/20

So, the result of the expression is -197/20.