a basketball player is 6 2/3 feet tall.. his infant son is 1/4 as tall. how tall is his son?
A: 1 2/3 ft
B: 1 1/2 ft
C: 2 2/12 ft
D: 2 2/3 ft
To find out how tall the son is, we need to multiply the height of the basketball player by 1/4.
Multiply the whole number part:
6 x 1/4 = 6/4 = 3/2 = 1 1/2
Multiply the fraction part:
2/3 x 1/4 = 2/12
Now add the two parts:
1 1/2 + 2/12 = 6/4 + 2/12 = 18/12 + 2/12 = 20/12 = 5/3
The son is 1 2/3 feet tall.
So the answer is A: 1 2/3 ft.
To find out how tall the basketball player's son is, we need to multiply the player's height by 1/4.
The basketball player is 6 2/3 feet tall.
To convert this to an improper fraction:
6 2/3 = (6 * 3 + 2) / 3 = 20/3 feet
Now, we can multiply 20/3 by 1/4:
20/3 * 1/4 = (20 * 1) / (3 * 4) = 20/12 = 5/3 feet
To convert the fraction back to a mixed number, we divide the numerator (5) by the denominator (3), which gives us 1 with a remainder of 2.
Therefore, the son is 1 2/3 feet tall.
So, the answer is A: 1 2/3 ft.
To find the height of the basketball player's son, you need to multiply the player's height by the fraction that represents his son's height relative to the player's height.
First, convert the basketball player's height to an improper fraction. The basketball player is 6 2/3 feet tall, which can be expressed as (6 * 3 + 2)/3 = 20/3 feet.
Next, multiply the player's height by the fraction representing his son's height relative to his own height. In this case, the fraction is 1/4.
So, (20/3) * (1/4) = 20/12 = 5/3 feet.
To simplify the fraction 5/3, divide the numerator (5) by the denominator (3) to get the whole number part and the remainder. 5 divided by 3 is equal to 1 with a remainder of 2.
Therefore, the son's height is 1 2/3 feet.
So, the answer is A: 1 2/3 ft.