Reduce the fractions to their lowest terms and write their reciprocals:
a. 25/120
To reduce the fraction 25/120 to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 25 and 120 is 5.
Dividing both the numerator and denominator by the GCD (5), we get:
(25/5) / (120/5) = 5/24
So, the fraction 25/120 reduced to its lowest terms is 5/24.
The reciprocal of 25/120 is obtained by interchanging the numerator and the denominator:
Reciprocal of 25/120 = 120/25 = 24/5