Maya has a rectangular corn field. The area of the field is 1 1/6 square miles with a length of 1/2 mile. If area=length×width, what is the width of the field? Simplify the answer if possible.
2 1/3
7/ 12
14/16
6/14
To find the width of the field, we need to divide the area by the length. Given that the area is 1 1/6 square miles and the length is 1/2 mile, we can use the formula:
Width = Area / Length
First, convert the mixed number of the area to an improper fraction:
1 1/6 = (6*1 + 1)/6 = 7/6
Substitute the values into the formula:
Width = 7/6 ÷ 1/2
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Width = 7/6 × 2/1
Multiply the numerators together and the denominators together:
Width = (7 × 2) / (6 × 1) = 14/6
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
Width = (14 ÷ 2) / (6 ÷ 2) = 7/3
Therefore, the width of the field is 7/3 or 2 1/3.