Question

Convert the following to fraction ,
18 points for the answer.
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Answer 1

Answer:

$1\frac{1253}{12375}$

Step-by-step explanation:

(Underline=Overscore)

Let X equal the decimal number

Equation 1:

X=1.10125...(1)

With 2 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 10^2 = 100

Equation 2:

100X=110.12525...(2)

Subtract equation (1) from equation (2)

,

We get

:

99X=109.024

Solve for X

,

X=109.02499

Multiply to eliminate 3 decimal places.

Here you multiply top and bottom by 3 10's

= 103 = 1000

(109.024/99)×(1000/1000) = (109024/99000)

Find the Greatest Common Factor (GCF) of 109024 and 99000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(109024÷8)/(99000÷8) = (13628/12375)

Simplify the improper fraction,

=1 and 1253/12375

In conclusion,

1.10125=1 (1253)/(12375)

To be written as $1\frac{1253}{12375}$

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Answer 2

$\huge \boxed{ \red {\blue{ \green{ \orange{ \pink{ \purple{a}n}s}w}e}r : - }}$

$\huge \boxed{1 \frac{1253}{12375 }}$

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