Question

A)7/12 у = 2 1/4 б)15/68 : x =10/51

Answer 1

7/12у= 21/4
7у= 21×12/4
7у=63
у=9

15/68÷Х = 10/51
68х=15×51/10
68х= 153/2
х=153/136=1,125

Answer 2

To solve these equations, let's find the values of the variables 'у' and 'x'.

A) 7/12 у = 2 1/4

Step 1: Convert 2 1/4 to an improper fraction. 2 1/4 = (2 * 4 + 1) / 4 = 9/4

Step 2: Now, we have the equation: 7/12 у = 9/4

Step 3: To solve for 'у', we need to isolate it on one side of the equation. To do that, we can multiply both sides of the equation by the reciprocal of 7/12, which is 12/7.

(7/12 у) * (12/7) = (9/4) * (12/7)

Step 4: Simplify and solve for 'у': у = (9/4) * (12/7) = 27/7 ≈ 3.857

So, у ≈ 3.857

B) 15/68 : x = 10/51

Step 1: To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 'x' is 1/x. So, we can rewrite the equation as:

(15/68) * (1/x) = 10/51

Step 2: Now, we can solve for 'x'. To do that, we can cross-multiply:

15/68 * x = 10/51

Step 3: To isolate 'x', we need to get rid of the fraction on the left side. To do that, multiply both sides by the reciprocal of 15/68, which is 68/15.

(15/68 * x) * (68/15) = (10/51) * (68/15)

Step 4: Simplify and solve for 'x': x = (10/51) * (68/15) = 680/765 ≈ 0.888

So, x ≈ 0.888