Question

What number is $ 5\% $ of $ 140? $

Answer 1

Hint: Percentage basically means that per hundred. Or we can say divided by 100. So we will find $ 5\% $ of $ 140 $ . That is $ 140 $ is multiplied by the ratio of \[\dfrac{5}{{100}}\]. The answer so obtained will be simplified to its simplest form such that numerator and denominator has only one common multiple 1.

Complete step-by-step answer:
Given the number is $ 140 $ whose $ 5\% $ is to be found.
 So, \[5\% = \dfrac{5}{{100}}\]
So we will multiply the given number by the ratio above,
\[ = \dfrac{5}{{100}} \times 140\]
Simplify the above expression -
 $ = \dfrac{{700}}{{100}} $
Find factors for the term on the numerator.
 $ = \dfrac{{7 \times 100}}{{100}} $
Common factors from the numerator and the denominator cancel each other. Therefore remove from the numerator and the denominator.
 $ = 7 $
Hence, $ 5\% $ of $ 140 $ is $ 7 $
So, the correct answer is “7”.

Note: Here just note that “of” operator means multiplication. This is the only thing to note. Also note that sometimes the language of the question is what percent and thus used the “of” operator. Fractions are the part of the whole. Generally, it represents any number of equal parts and it describes the part from a certain size and it is the number expressed in the form of numerator upon the denominator. Know the difference between the fraction and the percentage and apply accordingly. If you want to avoid division, you can convert the fraction in the equivalent form by making the denominator in tens, hundreds and then directly shifting or placing the decimal which depends on the number of zeros in the denominator.