Good evening. I posted a math question earlier that I never received any help on because someone posted something inappropriate.

My new math problem is as follows:
The area of a rectangular piece of a land is 3/16 square miles. If the width of the piece of land is 1/6 mile what is the length?

I know that the formula is:
A=lw
A=3/16 square miles
L=?
W=1/6 mile

Would I divide 3/16 divided by 1/6 and then just flip the second fraction and multiply

3/16 x 6/1=1 1/8?
Would 1 1/8 be my answer?

(3/16)/(1/6)

(3/16) * 6 = 18/16 = 1 1/8

Yes. The length is 1 1/8 mile.

Thank you Ms. Sue for checking on this. Also how would I be able to double check on this to see if I got the correct answer? Is there a way to do that?

Multiply 9/8 * 1/6 to see if the product is 3/16.

Good evening! I'm here to help you with your math problem.

To find the length of the rectangular piece of land, you can use the formula for the area of a rectangle: A = l * w, where A represents the area, l represents the length, and w represents the width.

In this case, you have the following information:
A = 3/16 square miles (area)
w = 1/6 mile (width)
l = ? (length)

To find the length, you can rearrange the formula and solve for l:
l = A / w

Now, substitute the given values into the formula:
l = (3/16) / (1/6)

When dividing by a fraction, you can flip the fraction and multiply:
l = (3/16) * (6/1)

Now, multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom):
l = (3 * 6) / (16 * 1) = 18 / 16

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2 in this case:
l = (18 / 2) / (16 / 2) = 9 / 8

The final answer is 9/8, which can also be written as 1 1/8 in mixed number form.

So, your answer is correct! The length of the rectangular piece of land is 9/8 mile, which is equivalent to 1 1/8 miles.