Question

How do you write $ 32:40 $ in simplest form?

Answer 1

Hint: Here we are given term expressed in the form of the ratio, and we have to convert it in the simplest form so convert ratio in the form of the fraction and then find the factors for both the terms on the numerator and the denominator and remove common factors for the reduced and simplified equivalent form of the given ratio.

Complete step by step solution:
Take the ratio $ 32:40 $
Convert the given ratio in the form of the fraction which is the term expressed in the form of numerator upon the denominator.
 $ 32:40 = \dfrac{{32}}{{40}} $
Find the factors for the above fraction.
 $ 32:40 = \dfrac{{4 \times 8}}{{5 \times 8}} $
Common factors from the numerator and the denominator cancel each other. Therefore, remove from the numerator and the denominator from the above expression.
 $ 32:40 = \dfrac{4}{5} $
The above expression can be re-written as $ 32:40 = 4:5 $
This is the required solution.
So, the correct answer is “4:5”.

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. 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 ratio the same.