Math, asked by hanisreeja, 4 days ago

tell me last total

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Answered by Anonymous
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Answer:

Question :

The strength particle of a school are given below. Express the strength of each class as a fraction percentage of total strength of the school.

\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\small\boxed{\begin{array}{c|c|c|c}\bf{Class} &\bf{No.\:of\:children} &\bf{As\:a\:fraction}&\sf{As\:a\:percentage}\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf VI &\sf 17&&\\\\\sf VII &\sf 15&&\\\\\sf VIII &\sf 20&&\\\\\sf IX&\sf 30&&\\\\\sf X&\sf 18&&\\\\\sf Total&\sf 100&&\end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}

Solution :

\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\small\boxed{\begin{array}{c|c|c|c}\bf{Class} &\bf{No.\:of\:children} &\bf{As\:a\:fraction}&\sf{As\:a\:percentage}\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf VI &\sf 17&\sf \dfrac{17}{100} &\sf 17\%\\\\\\\sf VII &\sf 15&\sf  \dfrac{15}{100} &\sf 15\%\\\\\\\sf VIII &\sf 20&\sf  \dfrac{20}{100} &\sf 20\%\\\\\\\sf IX&\sf 30&\sf  \dfrac{30}{100} &\sf 30\%\\\\\\\sf X&\sf 18&\sf \dfrac{18}{100} &\sf 18\%\\\\\\\sf Total&\sf 100&\sf \dfrac{100}{100}&\sf 100\%\end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}

Explanation :

→ When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 100% is the same as saying 100/100 in fraction form.

Note: the denominator is already 100 in this case, which means that the numerator is already the percentage for this fraction. Therefore the fraction 100/100 as a percentage is 100%.

Learn More :

Percentage :

→ A percentage is a number or ratio that is expressed as a fraction of 100.

Fractions Into Percents :

→ A fraction has two parts, a numerator on the top and a denominator on the bottom. Any percentage can be expressed as a fraction with the percentage value as the numerator and 100 as the denominator.

For example: 80% is also 80/100. You can use this to convert a fraction into a percentage as well.

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