Question

Find the percentage of the letter ‘m’ in the word mathematics.

Answer 1

Hint: For finding the percentage first count the number of times m occurs in mathematics then divide it by the total number of letters present in mathematics and multiply it with 100 to get the actual percentage.

Complete Step by Step Solution:
So first let us count the total number of times m occur as an letter in the word mathematics i.e., 2 times. Now count the total number of letters present in the word mathematics i.e., 11. Now divide them we will get it as \[\dfrac{2}{{11}}\]. Now multiply it by 100 to get the percentage
\[\begin{array}{l}
 = \dfrac{2}{{11}} \times 100\\
 = \dfrac{{200}}{{11}}\% \\
 = 18.181\%
\end{array}\]
 Therefore the percent of m we have in mathematics is 18.181 .

Note: \[\dfrac{{200}}{{11}} = 18.18181818.... = 18.\overline {18} \] .i.e., after the decimal 18 is recurring its a never ending value so we have taken 18.181 only because we cannot have recurring bar while writing percentage
\[\therefore \dfrac{{200}}{{11}} \approx 18.181\]