Question

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 expressed 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).​

Answer 1

9/25

Explanation:

0.36

36/100

18/50

9/25

Answer 2

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)

x = 0.3636...... equ(ii) {Now, subtract equ (ii) form (i)

99x = 36

x = 36/99

x = 4/11

0.3636...... = 4/11

B) __

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)

10x = 3.66666...... ---------(ii) {Now subtract (ii) from (i)}

90x = 33

x = 33/90

x = 11/30

0.36666..... = 11/30

c)

`0.36=(36)/(100)\\\\= (9)/(25)`