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ExtremeBDS [4]
4 years ago
13

1. Solve and show your work for each question.(a) What is 0.36 expressed as a fraction in simplest form?(b) What is 0.36 express

ed as a fraction in simplest form? (c) What is 0.36 expressed as a fraction in simplest form?<br />Answer: ( For question A there is a line over 36). ( For question B there is a line over 6). ( For question C there is no line over 0.36).​
Mathematics
2 answers:
olchik [2.2K]4 years ago
7 0

Answer:

Step-by-step explanation:

     ____

a) 0.36   = 0.3636........    

x = 0.363636.......    

{After decimal two digits are there and both are repeated. So, multiply both side by 100}

100x = 36.3636.......  equ(i)

<u>     x =   0.3636......</u>   equ(ii)   {Now, subtract equ (ii) form (i)

99x  = 36

x = 36/99

x = 4/11

0.3636...... = 4/11

B)    <u>__</u>

 0.36     = 0.366666.....

{After decimal point two digits are there but only one digit, 6 is repeated. so first multiply both sides of equation [x=0.366...] by 100 and mark it as equation (i) and then multiply both sides of the equation [x=0.366...] by 10 and mark it as (ii) equation }

x = 0.3666....

100x = 36.66666.....     ---------- (i)

<u>10x  =    3.66666......</u>      ---------(ii)  {Now subtract (ii) from (i)}

90x = 33

x = 33/90

x = 11/30

0.36666..... = 11/30

c)

0.36=\frac{36}{100}\\\\= \frac{9}{25}

Sauron [17]4 years ago
6 0

Answer:

9/25

Step-by-step explanation:

0.36

36/100

18/50

9/25

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