Question

A slide on the playground is 12 1/2 feet long. It is 3 feet 7 inches longer than the small slide. How long is the small slide ?

Answer 1

To find the length of the small slide, subtract the difference in length (3 feet 7 inches) from the large slide (12 feet 6 inches), convert to inches, and then back to feet and inches. The small slide is 8 feet 11 inches long.

Step-by-step explanation:

The student is asking how long the small slide is when it is known that the large slide is 12 feet 6 inches long and it is 3 feet 7 inches longer than the small slide. To find the length of the small slide, we need to subtract the difference in length (3 feet 7 inches) from the length of the large slide (12 feet 6 inches).

Firstly, convert the measurements to inches to make the subtraction easier since there are 12 inches in a foot:

Large slide: 12 feet 6 inches = (12 × 12) + 6 = 150 inches

Difference: 3 feet 7 inches = (3 × 12) + 7 = 43 inches

Subtract the difference in length from the length of the large slide:

Length of small slide = 150 inches - 43 inches = 107 inches

Finally, convert the length of the small slide back to feet and inches:

107 inches ÷ 12 inches/foot = 8 feet 11 inches

Therefore, the length of the small slide is 8 feet 11 inches.

Answer 2

we know that
1 ft is equal to 12 in
12 1/2 ft------> (12*2+1)/2-----> 25/2 ft
3 ft 7 in
7 in------> 7/12 ft
so
3 ft 7in-----> 3 (7/12) ft----> (3*12+7)/12-----> 43/12 ft

the small slide=(25/2)-(43/12)
multiply (25/2) by 6/6-----> 150/12
so
the small slide=(25/2)-(43/12)----> 150/12-43/12----> 107/12 ft

the answer is
the small slide is 107/12 ft long