4 2/5x=12 1/10

A. 7 7/10
B.2 3/4
c.2 1/2
D.4/11

I know but ms.sue said that wasn't me

because you should have typed 22/(5x)

what you typed was 22 x/5

I didn't work the problem out. You said the answer was 11/4.

2x/5 I mean

2/5x could be 2x/5 or 2/(5x)

Assuming the usual carelessness, and considering the apparent level of difficulty, I'd say we have

4 2/5 x = 12 1/10
22/5 x = 121/10
44/10 x = 121/10
x = 121/44 = 2 33/44 = 2 3/4
(B)

To solve the equation 4 2/5x = 12 1/10, we need to isolate the variable x.

Step 1: Convert the mixed numbers to improper fractions.

In our equation, 4 2/5x can be written as:

4 + 2/5x = 12 + 1/10

Since 4 is the whole number, it can be converted to an improper fraction by multiplying the denominator (5) by the whole number (4), and then adding the numerator (2):

4 = (4 * 5) + 2 = 22/5

Similarly, 12 1/10 can be converted to an improper fraction:

12 1/10 = (12 * 10) + 1 = 121/10

Now, our equation becomes:

22/5x = 121/10

Step 2: Multiply both sides of the equation by the reciprocal of the coefficient of x.

The coefficient of x is 22/5. To isolate x, we need to get rid of this coefficient by multiplying both sides of the equation by the reciprocal of 22/5, which is 5/22:

x = (5/22) * (121/10)

To multiply fractions, we multiply the numerators together and the denominators together:

x = (5 * 121) / (22 * 10)

Simplifying the numerator and the denominator:

x = 605 / 220

Step 3: Simplify the fraction if possible.

To simplify the fraction, we need to find their greatest common divisor (GCD) and divide both the numerator and denominator by it:

GCD(605, 220) = 5

Dividing both the numerator and denominator by 5:

x = (605/5) / (220/5)
x = 121/44

Therefore, the solution to the equation 4 2/5x = 12 1/10 is x = 121/44.

Now let's check the answer options:

A. 7 7/10 = 7 + 7/10 = 70/10 + 7/10 = 77/10
B. 2 3/4 = 2 + 3/4 = 8/4 + 3/4 = 11/4
C. 2 1/2 = 2 + 1/2 = 4/2 + 1/2 = 5/2
D. 4/11

Comparing the solutions, x = 121/44 does not match any of the given options. Therefore, none of the options A, B, C, or D is the correct answer.