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### Solved Examples

Question 1: Find the value of x.

$\frac{4}{19} = \frac{x}{152}$

Solution:
Given $\frac{4}{19} = \frac{x}{152}$

=> 4 * 152 = x * 19

=> x = $\frac{4 * 152}{19}$

[ 19 * 8 = 152 ]

=> x = 4 * 8

Question 2: The high school started a club for students interested in games. The club seemed to interest more boys than girls. There were 7 boys for every 4 girls that joined the club. There were 42 boys in the club. how many girls were there.

Solution:
Let number of girls in the club = x

Step 1:
Given
Number of boys in the club = 42
and there were 7 boys for every 4 girls

=> $\frac{7}{4} = \frac{42}{x}$

Step 2:

Solve for x,

=> $\frac{7}{4} = \frac{42}{x}$

=> 7 * x = 42 * 4

=> x = $\frac{42 * 4}{7}$               [ 7 * 6 = 42 ]

=> x = 24

Hence the number of girls in the club are 24. answer

Question 3: Change percent to decimal
$13\frac{1}{2}$ %
Solution:
Given, $13\frac{1}{2}$ %

Step 1:

Change mixed fraction into improper fraction
$13\frac{1}{2}$ = $\frac{27}{2}$

Step 2:

$13\frac{1}{2}$ % = $\frac{27}{2}$ * $\frac{1}{100}$

= $\frac{27 * 1}{2 * 100}$

= $\frac{27}{200}$

Step 3:

Divide 27 by 200

0. 1 3 5
----------------
2 0 0 |   27
0
------------
2 7 0
2 0 0
-----------------
7 0 0
6 0 0
---------------
1 0 0 0
1 0 0 0
----------------
x
----------------

=> $\frac{27}{200}$ = 0.135. answer