Question

3/40 : (11/25 -7/25) + 8/20 *5/8​

Answer 1

Ответ:

23/32

Пошаговое объяснение:

3/40:(11/25 -7/25) + 8/20 *5/8=3/40:4/25+8/20*5/8=3/40:4/25+1/4=3/40*25/4+1/4=3/8*5/4+1/4=15/32+1/4=23/32

1. Вычесть дроби 11/25-7/25=4/25

2. Сократить числа 8 и 8, 5 и 20 получится 1/4

3. Перевернуть дробь 4/25=25/4

4. Сократить числа 25 и 40 получится 3/8*5/4+1/4

5. Умножить дроби 3/8 и 5/4 получится 15/32

6. Сложить дроби 15/32 и 1/4 получится 23/32

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, calculate the subtraction inside the parentheses: (11/25 - 7/25) = 4/25

2. Next, calculate the multiplication of 8/20 and 5/8: (8/20) * (5/8) = (1/5) * (5/8) = (1/8)

3. Now, you can add the results from step 1 and step 2: (4/25) + (1/8)

To add these fractions, you need to find a common denominator, which in this case is 200. So, you need to rewrite the fractions with a denominator of 200:

(4/25) = (4/25) * (8/8) = (32/200) (1/8) = (1/8) * (25/25) = (25/200)

Now, you can add them:

(32/200) + (25/200) = (32 + 25) / 200 = 57/200

So, the final result of the expression is 57/200, which can be simplified further if needed.