Answer:
a. We reduce a fraction to lowest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
This means that there is no number, except 1, that can be divided evenly into both the numerator and the denominator.
To reduce a fraction to lowest terms, divide the numerator and denominator by their Greatest Common Factor (GCF). This is also called simplifying the fraction.
b. A fraction is said to written using lowest terms if its numerator and denominator are relatively prime , that is, they have no common factors other than 1 . (Some books use "simplest form" to mean the same thing.) So, 59 is written in lowest terms, since 5 and 9 have no common factors other than 1 .
Step-by-step explanation:
a.
1. List the prime factors of the numerator and denominator.
2. Find the factors common to both the numerator and denominator.
3. Divide the numerator and denominator by all common factors (called canceling).
b.So, 59 is written in lowest terms, since 5 and 9 have no common factors other than 1 . But 69 is not; 6 and 9 have a common factor 3 .
To write 69 in lowest terms, divide both the numerator and denominator by the greatest common factor , in this case 3 :
6 ÷ 39 ÷ 3=23
So 69 written in lowest terms is 23 .
This is known as reducing fractions .
Hope this will help you
