Write each rate as a fraction in lowest terms: 48 gallons in 14 minutes
14/48 = 7/24
Can u give me the answers to # 5-12 and 2,4
To write the rate as a fraction in lowest terms, we need to divide the numerator and denominator by their greatest common factor (GCF). In this case, we need to find the GCF of 48 and 14.
The prime factors of 48 are 2, 2, 2, 2, and 3.
The prime factors of 14 are 2 and 7.
To find the GCF, we take the common factors and multiply them together:
GCF = 2 * 2 = 4
Now, we divide both the numerator and denominator by the GCF:
48 ÷ 4 = 12
14 ÷ 4 = 7
Therefore, the rate of 48 gallons in 14 minutes can be written as the fraction 12/7 in lowest terms.
To write the rate as a fraction, we need to express the given quantities, 48 gallons and 14 minutes, as a numerator and denominator, respectively.
In this case, the rate is given as 48 gallons in 14 minutes. To express this as a fraction, we will place the 48 gallons as the numerator and the 14 minutes as the denominator. Therefore, the fraction representation of the rate is 48/14.
To simplify this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by this common divisor.
The GCD of 48 and 14 is 2. By dividing both the numerator and denominator by 2, we get:
48 ÷ 2 = 24
14 ÷ 2 = 7
Therefore, the rate of 48 gallons in 14 minutes can be expressed as the simplified fraction 24/7.