Reduce each of the following fractions to the lowest term 60 by 80
To reduce a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by this value.
To find the GCD of 60 and 80, we can use the Euclidean algorithm. Here's the step-by-step process:
1. Divide the larger number (80) by the smaller number (60) to obtain the quotient and remainder: 80 ÷ 60 = 1 with a remainder of 20.
2. Then, divide the previous divisor (60) by the remainder (20): 60 ÷ 20 = 3 with no remainder.
3. Since the remainder is zero, our last divisor (20) is the GCD of 60 and 80.
Now, let's reduce the fraction 60/80:
Dividing both the numerator (60) and denominator (80) by the GCD (20), we get:
60 ÷ 20 = 3
80 ÷ 20 = 4
Therefore, the fraction 60/80 can be reduced to its lowest term as 3/4.
So, the reduced fraction of 60/80 is 3/4.