Write each rate as a fraction in lowest terms
15 feet in 45 seconds
15ft/45s = 1/3 ft/s
To find the rate as a fraction, we need to divide the distance by the time.
The fraction that represents the rate is found by dividing the distance (15 feet) by the time (45 seconds):
Rate = Distance / Time
Rate = 15 feet / 45 seconds
To reduce this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of 15 and 45.
The prime factors of 15 are 3 and 5, and the prime factors of 45 are 3, 3, and 5.
The common prime factors are 3 and 5. Multiplying these common factors together, we get 3 * 5 = 15 as the GCD.
Now, we can simplify the fraction by dividing both the numerator and denominator by the GCD:
Rate = (15 feet / 15) / (45 seconds / 15)
Rate = 1 foot / 3 seconds
Therefore, the rate of 15 feet in 45 seconds is 1/3 in lowest terms.
To write the rate as a fraction in lowest terms, we need to find the greatest common factor (GCF) of the numerator and the denominator. In this case, the numerator is 15 and the denominator is 45.
Step 1: Find the GCF of the numerator and the denominator.
The factors of 15 are: 1, 3, 5, 15
The factors of 45 are: 1, 3, 5, 9, 15, 45
The common factors are 1, 3, and 15. The greatest among them is 15.
Step 2: Divide both the numerator and denominator by the GCF.
15 ÷ 15 = 1
45 ÷ 15 = 3
Therefore, the rate of 15 feet in 45 seconds can be written as the fraction 1/3 in lowest terms.