Question

( х - 2 3/8) : 1 1/4 = 1/20​

Answer 1

Ответ:

( х - 2 3/8) : 1 1/4 = 1/20

х =39/16

Answer 2

To solve the equation (х - 2 3/8) / 1 1/4 = 1/20, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

2 3/8 can be written as an improper fraction as follows: 2 3/8 = (8 * 2 + 3) / 8 = 19/8

1 1/4 can be written as an improper fraction as follows: 1 1/4 = (4 * 1 + 1) / 4 = 5/4

So, the equation becomes (x - 19/8) / (5/4) = 1/20.

Step 2: Invert the fraction on the right side of the equation (1/20) to find its reciprocal, which is 20/1.

Now the equation is (x - 19/8) / (5/4) = 20/1.

Step 3: To solve for x, you can cross-multiply and then solve for x.

(x - 19/8) * (4/5) = 20/1

Now, multiply both sides by (5/4) to isolate (x - 19/8):

(x - 19/8) * (4/5) * (5/4) = (20/1) * (5/4)

(x - 19/8) = 25

Step 4: Add 19/8 to both sides of the equation to isolate x:

x - 19/8 + 19/8 = 25 + 19/8

x = (25 + 19/8)

Now, find a common denominator to add the fractions:

x = (200/8 + 19/8)

x = (219/8)

So, the solution to the equation (х - 2 3/8) / 1 1/4 = 1/20 is:

x = 219/8 or x = 27.375