A faucet can fill
3
8
of a bath tub in
1
4
of a minute. Compute the unit rate by setting up a complex fraction and simplifying.
ANSWERS
A) 1 tub per minute
B) 1
1
2
tubs per minute
C) 2
1
2
tubs per minute
D) 2 tubs per minute
1
1
2
tubs per minute
it's 1 1/2 tubs per minute.
Print horizontally.
A faucet can fill 3/8 of a bath tub in 1/4 of a minute.
3/8 * 4 = ?
To find the unit rate, we need to determine how much the faucet can fill in one minute.
Given that the faucet can fill 3/8 of a bathtub in 1/4 of a minute, we can set up a complex fraction to represent the situation:
(3/8) bathtubs / (1/4) minute
To simplify this complex fraction, we can multiply the numerator and denominator by the reciprocal of the denominator:
(3/8) bathtubs / (1/4) minute * (4/1) minute / (1/4) minute
Simplifying, we get:
(3/8) bathtubs * (4/1) minute = 12/8 bathtubs = 3/2 bathtubs
Therefore, the faucet can fill 3/2 of a bathtub in one minute.
To convert this to a mixed number, we divide the numerator (3) by the denominator (2):
3 ÷ 2 = 1 remainder 1
So, 3/2 can be written as 1 and 1/2.
Therefore, the unit rate is 1 1/2 tubs per minute, which is option B).