Question

51/25:(8/25+9/20)-64/35×5/4

Answer 1

Ответ примера равен 4/11

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 it down step by step:

1. First, perform the operations inside the parentheses:

   (8/25 + 9/20) = (32/100 + 45/100) = (77/100)

2. Now, rewrite the expression with the result from step 1:

   51/25 ÷ 77/100 - 64/35 × 5/4

3. Next, let's simplify the division by multiplying by the reciprocal:

   (51/25) ÷ (77/100) = (51/25) × (100/77) = (204/77)

4. Also, simplify the multiplication:

   (64/35) × (5/4) = (64/35) × (5/4) = (320/140)

5. Now, rewrite the expression with the results from steps 3 and 4:

   (204/77) - (320/140)

6. To subtract these fractions, you need a common denominator. The least common multiple of 77 and 140 is 1540. So, you need to adjust the fractions:

   (204/77) * (20/20) - (320/140) * (11/11)

7. Perform the subtraction:

   (4080/1540) - (3520/1540)

8. Finally, subtract the fractions:

   (4080 - 3520) / 1540 = 560 / 1540

9. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 40:

   (560 ÷ 40) / (1540 ÷ 40) = 14/38

10. Reduce the fraction to its simplest form by dividing both the numerator and denominator by their GCD, which is 2:

    (14 ÷ 2) / (38 ÷ 2) = 7/19

So, the result of the expression is 7/19.