Jack lives on a farm and has a large backyard. The area of his rectangular backyard is 2/3of a square mile. If the width of the yard is 3/4 of a mile, what fraction of a mile is the length of the rectangular backyard?
To solve this problem, we can use the formula for the area of a rectangle, which is:
Area = length x width
Since we know that the area of the backyard is 2/3 of a square mile, and the width is 3/4 of a mile, we can substitute these values into the formula and solve for the length:
2/3 = length x 3/4
To isolate the variable (length), we can divide both sides of the equation by 3/4:
2/3 ÷ 3/4 = length
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
2/3 x 4/3 = length
This simplifies to:
8/9 = length
Therefore, the length of the rectangular backyard is 8/9 of a mile.