Question

(5/12+1/2х):2целых 1/2=11/12

Answer 1

5\12:2 1\2+1\2х:2 1\2=11\12

5\12*2\5+1\2х*2\5=11\12

1\6+1\5х=11\12

1\5х=11\12-1\6

1\5х=3\4

х=3\4*5

х=15\4=3 3\4

Answer 2

Let's solve the expression step by step to verify if the statement is true:

Given expression: (5/12 + 1/2 * x) / 2 ½

To make the calculations easier, let's convert 2 ½ to a fraction:

2 ½ = 2 + 1/2 = 5/2

Now the expression becomes: (5/12 + 1/2 * x) / (5/2)

To simplify further, let's multiply the numerator by the reciprocal of the denominator (division is the same as multiplying by the reciprocal):

(5/12 + 1/2 * x) * (2/5)

Now, let's find a common denominator for the terms in the numerator:

Common denominator for 12 and 2 is 12. So, we need to rewrite 1/2 as 6/12:

(5/12 + 6/12 * x) * (2/5)

Now, we can combine the terms in the numerator:

(5/12 + 6/12 * x) = (5 + 6x)/12

The expression now becomes:

(5 + 6x)/12 * (2/5)

The 5 in the numerator and the 5 in the denominator cancel out, leaving us with:

(6x + 5)/12

Now, we need to compare this result with the given equation: 11/12

So, the equation becomes:

(6x + 5)/12 = 11/12

To solve for x, we'll cross-multiply:

12 * 11 = 6x + 5

132 = 6x + 5

Subtract 5 from both sides:

127 = 6x

Now, divide by 6:

x = 127/6

This result (x = 127/6) does not match the equation 11/12. Therefore, the statement is incorrect. The correct equation should be:

(5/12 + 1/2 * x) / 2 ½ = (6x + 5)/12, not 11/12.