Tom is playing football. He carries the ball forward 7 1/3 yards and then goes backward 2 feet. How far forward did Tom carry the ball, in feet, after these two plays? (Remember, there are 3 feet in 1 yard.)
7 1/3 yards = 22 feet
22 - 2 = ?
To determine how far forward Tom carried the ball after these two plays, we need to convert both distances to the same unit of measurement. Let's convert 7 1/3 yards into feet first.
Since there are 3 feet in 1 yard, we multiply the number of yards by 3 to convert to feet.
7 1/3 yards * 3 feet/yard = 7 1/3 * 3 feet = (7 + 1/3) * 3 feet = (21/3 + 1/3) * 3 feet = 22/3 * 3 feet = 22 feet.
Now let's convert 2 feet into yards. Since there are 3 feet in 1 yard, we divide the number of feet by 3 to convert to yards.
2 feet ÷ 3 feet/yard = 2 ÷ 3 yard = 2/3 yard.
Next, we need to determine the total distance forward. We subtract the distance backward (2/3 yard) from the distance forward (22 feet):
22 feet - 2/3 yard.
Now, we can convert the 2/3 yard back into feet to get the final answer. Again, since there are 3 feet in 1 yard, we multiply the number of yards by 3.
2/3 yard * 3 feet/yard = 2/3 * 3 feet = 6/3 feet = 2 feet.
So, the final answer is:
22 feet - 2 feet = 20 feet.
Tom carried the ball forward 20 feet.
To calculate how far Tom carried the ball forward, we need to convert the yards into feet and subtract the distance he went backward.
First, we need to convert the 7 1/3 yards to feet. Since there are 3 feet in 1 yard, we can multiply 7 1/3 by 3:
7 1/3 yards * 3 feet/yard = 22 feet
So, Tom carried the ball forward 22 feet.
Next, we need to convert the 2 feet he went backward into yards to match the unit of the forward distance. Since there are 3 feet in 1 yard, we divide 2 by 3:
2 feet / 3 feet/yard = 2/3 yards
Finally, we subtract the backward distance from the forward distance:
22 feet - 2/3 yards = 22 feet - 2/3 yards
To perform the subtraction, we need to convert the 2/3 yards to feet by multiplying by 3:
22 feet - (2/3 yards * 3 feet/yard) = 22 feet - (2 * 3) feet = 22 feet - 6 feet = 16 feet
Therefore, after these two plays, Tom carried the ball forward 16 feet.