Question

How do you write $ \dfrac{{28}}{{19}} $ in simplest form?

Answer 1

Hint: We can get the simplest form of the given fraction by converting it in the reduced form of the fraction. 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 solution:
Take the given expression: $ \dfrac{{28}}{{19}} $
We usually find the factors of the terms on the numerator and the denominator and then remove the common factors from it. But here the number in the denominator is the prime number and therefore do not have any factors and therefore we will divide the numerator with the denominator.
 $ \dfrac{{28}}{{19}} = 1\dfrac{9}{{19}} $
Mixed fraction is the combination of a whole number and the fraction.
Hence the given number $ \dfrac{{28}}{{19}} $ can be expressed as $ 1\dfrac{9}{{19}} $ .

Additional information: Know the concepts of the whole numbers, integers, natural numbers, prime numbers, the composite numbers, Rational and irrational numbers. Also, know the difference and correlation among them. 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.

Note: You should be very good in multiples. As, ultimately your answer depends on the multiplication of the numbers. 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.