Question

Reduce \[ - \dfrac{{45}}{{30}}\]to the standard form

Answer 1

Hint: Here we are given one fraction and we are asked to find out its reduced standard form. Fraction is the expression in which a number is represented in the form of a numerator upon the denominator.

Complete step-by-step answer:
Take the given expression: \[ - \dfrac{{45}}{{30}}\]
To get the reduced form of the fraction, find the factors of the terms in the numerator and the denominator and remove common factors from the numerator and the denominator.
Factors are the terms or the numbers which when multiplied together gives the original number.
\[ - \dfrac{{45}}{{30}} = - \dfrac{{3 \times 3 \times 5}}{{2 \times 3 \times 5}}\]
Common factors from the numerator and the denominator cancels each other. Therefore remove from the above expression.
\[ - \dfrac{{45}}{{30}} = - \dfrac{3}{2}\]
This is the reduced required form.
So, the correct answer is “\[- \dfrac{3}{2}\]”.

Note: Prime factorization can be defined as the process of finding which prime numbers can be multiplied together to make the original number. Also, where prime numbers are the numbers which are greater than $1$ and which are not the product of any two smaller natural numbers. Prime factorisation can also be done by the methods such as factor tree method, long division method. It is the factor-tree that shows the prime factors of the composite number in the form tree. One can get different factor trees to find the same prime factorization of the same composite number in different ways depending on the number. Be good in multiples and also remember it at least twenty