Question

How do you evaluate \[\dfrac{1}{10}\] of \[120\]?

Answer 1

Hint: In this question, we will use the properties of multiplication and division. Multiplying and dividing a number with an unequal does not change the number. We will multiply the given terms and remove the common terms along as well so as to reduce the calculations as much as possible.
For eg- let say 10, we can also write it as \[10=10\times 1=5\times 2=10\]

Complete step by step answer:
According to the question we have to evaluate \[\dfrac{1}{10}\]of \[120\],
This expression can be written as:
\[\dfrac{1}{10}\times 120\]
So this expression can be understood for finding the one tenth value of 120.
120 can be written as a product of its factors. Based on the denominator (in a fraction, the lower number is the denominator) we can factorize 120 as a product of 12 and 10.
\[\dfrac{1}{10}\times 120\]
We will now factorize 120, though we can have many combinations of factors for 120, but we can’t write it anyway. So for deciding which factors would be the best is by observing what we have in the denominator. We have 10 in the denominator, so we will factorize 120 in terms of 10, so we get
\[\Rightarrow \dfrac{1}{10}\times (12\times 10)\]
Now we have 10 both in the numerator as well as in the denominator, 10 is cancelled.
\[\Rightarrow 1\times 12\]
We are now left with the answer, 1 multiplied by any number gives the number itself, we have
\[\Rightarrow 12\]
Therefore, the answer is 12.

Note:
While solving the question, the properties involved with arithmetic operation should not be intermixed with each other and should be carefully done. While doing the factorization, always try to make the numerator such that it has a factor or a multiple as that of the denominator. If the numerator cannot be altered much then try to make the denominator a multiple of 10. That way the fraction can be more easily solved without doing much calculation.