Math, asked by kommusaikiran, 1 month ago

Express 12.46 inthe form of p/q

Answers

Answered by rajaniparawapur685
0

Answer:

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Answered by kainsangeeta25
1

Step-by-step explanation:

First, create an equation that represents the repeating decimal that you want to convert to a fraction

x = 12.4646.... (1)

There are 2 repeating decimals, multiply both sides of the equation by 102 = 100 so that both equations have the same repeating digits to the right of the decimal point

100x = 1246.4646... (2)

Subtract the equation (1) from equation (2)

100x

x =

= 1246.4646...

12.4646...

99x = 1234

Solve for the x in the equation to determine the equivalent fraction.

x =

1234

99

Therefore, 1234/99 is simplified fraction of 12.46 repeating. Since this is an improper fraction, converted to mixed number is:

1234

99

= 12

46

99

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