Question

Express 18.4848 in the form P upon q where p and q are integers and q not equal to zero​

Answer 1

Step-by-step explanation:

Let x = 18.4848

Multiplying both sides by 100

100x =1848.4848

Subtracting Equation 1 from Equation 2

100x-x=1848.4848-18.4848

=99x=1830

=x=1830/99 or in simple form 610/33

Hope it helps you !!!

Answer 2

Answer:

The  $\frac{p}{q}$ form of 18.484848.... =  $\frac{610}{33}$

Step-by-step explanation:

Given decimal number is 18.4848.......

To find,

To express the given decimal number in the form of $\frac{p}{q}$, where p and q are integers and q ≠ 0

Solution:

18.484848..... is a recurring decimal. Every recurring decimal is a rational number and hence it can be expressed in the form  $\frac{p}{q}$, where p and q are integers and q ≠ 0

Let x = 18.484848...... -------------------------(1)

Since there are three places of decimal that are recurring, multiply equation (1) by 100

100x = 18.484848.............×100

100x = 1848.4848........ ----------------------(2)

Subtracting equation(1) from equation(2) we get

100x - x = 1848.4848........ - 18.484848......

99x = 1830

x = $\frac{1830}{99}$

x = $\frac{610}{33}$

∴18.484848......  = $\frac{610}{33}$

The  $\frac{p}{q}$ form of 18.484848.... =  $\frac{610}{33}$

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