Question

(16/27-5/9)*3/10помогите найти ответ, и объясните как получился ответ в минусах!!пожалуйста

Answer 1

Приводим к общему знаменателю
1)16/27-15/27=1/27
2)1/27*3/10=3/270=1/90

Answer 2

To find the answer to the expression (16/27 - 5/9) * 3/10, we can 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 subtraction inside the parentheses: 16/27 - 5/9 = (16 * 9 - 5 * 27) / (27 * 9) = (144 - 135) / 243 = 9/243

2. Simplify the multiplication and division from left to right: (9/243) * 3/10 = (9 * 3) / (243 * 10) = 27/2430

3. Reduce the fraction to its simplest form: 27/2430 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 27: 27/2430 = 1/90

Therefore, the answer to the expression (16/27 - 5/9) * 3/10 is 1/90.

Now, let's explain how the answer ended up being in the form of a fraction. When subtracting fractions, we need to find a common denominator. In this case, the common denominator is 27 * 9 = 243. By multiplying the numerators and denominators by appropriate factors, we can convert the fractions to have the same denominator and then subtract them.

As for why the answer is in the form of a fraction, it's because the numbers involved in the calculation are fractions. When performing arithmetic operations on fractions, it's common for the result to be another fraction. In this case, the result is 1/90.

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