Question

4 7/25+(18/25-4/15) пожалуйста подробное решение

Answer 1

To solve the expression 4 + 7/25 + (18/25 - 4/15), we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. Simplify the expression inside the parentheses: (18/25 - 4/15) To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 25 and 15 is 75. So, we can rewrite the expression as: (18/25 - 4/15) = (18/25 * 3/3 - 4/15 * 5/5) = (54/75 - 20/75)

Now, we can subtract the fractions: (54/75 - 20/75) = (54 - 20)/75 = 34/75

2. Now, we can substitute the simplified expression back into the original expression: 4 + 7/25 + 34/75

3. To add fractions, we need to have a common denominator. The least common multiple (LCM) of 25 and 75 is 75. So, we can rewrite the expression as: 4/1 * 75/75 + 7/25 * 3/3 + 34/75

Now, we can add the fractions: (4 * 75 + 7 * 3 + 34)/75 = (300 + 21 + 34)/75 = 355/75

4. Simplify the fraction, if possible: 355/75 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5: (355/5)/(75/5) = 71/15

Therefore, the solution to the expression 4 + 7/25 + (18/25 - 4/15) is 71/15.

I hope this explanation helps! Let me know if you have any further questions.