Question

What is $ \dfrac{{10}}{{12}} - \dfrac{8}{{12}} $ in simplest form?

Answer 1

Hint: We are given two simplest forms and the difference between the two. We are given a fraction with the same denominator and so will subtract the numerators. Since the fraction is the term expressed in the terms of the numerator upon the denominator and common factors from the numerator and the denominator cancel each other.

Complete step-by-step answer:
Take the given expression: $ \dfrac{{10}}{{12}} - \dfrac{8}{{12}} $
Denominators are same, so the numerators are subtracted
 $ = \dfrac{{10 - 8}}{{12}} $
Simplify the numerator finding the subtraction of the numerator.
 $ = \dfrac{2}{{12}} $
Find the factors for the numerator.
 $ = \dfrac{2}{{2 \times 6}} $
Common factors from the numerator and the denominator cancel each other. Therefore remove from the numerator and the denominator from the above expression.
 $ = \dfrac{1}{6} $
The above expression can be re-written as $ \dfrac{{10}}{{12}} - \dfrac{8}{{12}} $ is $ \dfrac{1}{6} $
This is the required solution.
So, the correct answer is “ $ \dfrac{1}{6} $ ”.

Note: Remember multiplies of the number at least till for the accurate and efficient solution. Always remember that the prime numbers have only two factors that number itself and the number one. The prime factorization can also be done by using the long division method. Composite numbers are the numbers which are expressed as the multiple of prime numbers. For example: $ 4 = 2 \times 2 $ composite number is expressed as the product of two prime numbers in this case. Remember one number is neither prime nor composite. Always remember the common factors from the numerator and the denominator cancel each other which ultimately keeps the fraction value the same.