Question

Express 37 1/2 % as a fraction in its lowest term​

Answer 1

Given,

$\[37\frac{1}{2}\% \]$

Solution,

Express percent into fraction.

$\[ = 37\frac{1}{2}\% \]$

$\[ = \frac{{75}}{2}\% \]$

$\[ = \frac{{75}}{2} \times \frac{1}{{100}}\]$

$\[ = \frac{{75}}{{200}}\]$

$\[ = \frac{3}{8}\]$

Hence the lowest fraction term is $\[\frac{3}{8}\]$.

Answer 2

$\displaystyle \sf 37 \frac{1}{2} \% = \bf \: \frac{3}{8}$

Given :

$\displaystyle \sf 37 \frac{1}{2} \%$

To find :

To express as a fraction in its lowest term

Concept :

Percentage

In study mathematics the term percentage is used. It is denoted by the symbol %

The percentage is a number or ratio which is expressed as a fraction of 100.

In order to calculate percentage we divide the number by whole and multiply by 100

Solution :

Step 1 of 2 :

Write down the given percentage

Here the given percentage is

$\displaystyle \sf 37 \frac{1}{2} \%$

Step 2 of 2 :

Express as a fraction in its lowest term

$\displaystyle \sf 37 \frac{1}{2} \%$

$\displaystyle \sf = \frac{75}{2} \%$

$\displaystyle \sf = \frac{75}{2 \times 100}$

$\displaystyle \sf = \frac{3 \times 5 \times 5}{2 \times 2 \times 2 \times 5 \times 5}$

$\displaystyle \sf = \frac{3 }{2 \times 2 \times 2 }$

$\displaystyle \sf = \frac{3}{8}$

$\boxed{ \: \: \displaystyle \sf \therefore \: 37 \frac{1}{2} \% = \bf \: \frac{3}{8} \: \: }$

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