Question

6 1/2:x=4 3/4:7 1/86 1/2:x=4 3/4:7 1/8

Answer 1

6 1/2 : х=4 3/4 : 7 1/8

13/2 : х=19/4 : 57/8

х=13/2 * 57/8 : 19/4

х=13/2 * 57/8 * 4/19

х=39/4=6 3/4

Answer 2

To solve the equation 6 1/2:x = 4 3/4:7 1/8, we need to find the value of x. Let's start by converting all the mixed numbers to improper fractions for easier calculations:

6 1/2 = 13/2 4 3/4 = 19/4 7 1/8 = 57/8

Now, the equation becomes:

(13/2) / x = (19/4) / (57/8)

To solve for x, we can use the rule that states dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the equation as follows:

(13/2) * (8/57) = (19/4) * (1/x)

Now, let's calculate:

(13/2) * (8/57) = 104/1146 ≈ 0.09072

Next:

(19/4) * (1/x) = 19/4x

Now, we equate the two expressions:

104/1146 = 19/4x

To solve for x, we need to isolate it on one side of the equation:

4x = (19 * 1146) / 104 4x = 2109 / 13 x = 2109 / 13 / 4 x ≈ 161.46

So, the value of x in the equation is approximately 161.46.