Question

Дробь 2-1:(1/2-1/4) _________ = 2+1:(1/2+1/4)

Answer 1

2-1÷(1/2-1/4) 1÷1/4 4
---------------- = ---------- = ------
2+1÷(1/2+1/4) 3÷3/4 4/3

Answer 2

To simplify the expression, let's start by performing the operations step by step.

Step 1: Simplify the left side of the equation. We have the fraction: (2 - 1) / (1/2 - 1/4)

Step 2: Perform the subtraction in the numerator and denominator. 1 / (1/2 - 1/4)

Step 3: Find a common denominator for the fractions in the denominator. The common denominator for 1/2 and 1/4 is 4. So, we rewrite the expression as follows:

1 / (2/4 - 1/4)

Step 4: Continue with the subtraction in the denominator. 1 / (1/4)

Step 5: Now, we have a fraction divided by another fraction. To divide fractions, we invert the divisor (the fraction after the division sign) and multiply:

1 * (4/1) = 4

So, the left side of the equation simplifies to 4.

Now, let's simplify the right side of the equation.

Step 1: We have the fraction: 2 + 1 / (1/2 + 1/4)

Step 2: Find a common denominator for the fractions in the denominator. The common denominator for 1/2 and 1/4 is 4. So, we rewrite the expression as follows:

2 + 1 / (2/4 + 1/4)

Step 3: Continue with the addition in the numerator. 2 + 1 / (3/4)

Step 4: Now, we have a whole number and a fraction added together. To add them, we need a common denominator for 2 and 3/4. The common denominator is 4. So, we rewrite the expression as follows:

8/4 + 1 / (3/4)

Step 5: Continue with the addition. 8/4 + 4/4 = 12/4 = 3

So, the right side of the equation simplifies to 3.

The equation now becomes:

4 = 3

However, this is not true. It seems there might be a mistake or an error in the original equation. Please double-check the given equation for accuracy. If you have any other questions or need further assistance, feel free to ask!