1. Express the following numbers in the form 𝑝/𝑞 and reduce it to the lowest terms

a) 0.99 (bar on last digit 9 only)

b) 0.910 (bar on 10 only)

c) 0.46 (bar on 6 only) 

d) 0.91 (bar on 1 only)

e) 0.72 (bar on 7 only)

2. Express the following numbers in the form 𝑝/𝑞 and reduce it to the lowest terms

a) (-0.345)   

b) (-0.0030)  

c) 0.00106  

d) 0.00050    

e) (-0.0038)        

f) 4.85 

Asked by prakash.sanyasi | 23rd Jul, 2019, 04:44: PM

Expert Answer:

c) 0.46 (bar on 6 only) 
Let begin mathsize 16px style straight x equals 0.4 6 with bar on top end style
10x = begin mathsize 16px style 4.6 with bar on top end style .....(i)
100x = begin mathsize 16px style 46.6 with bar on top end style ....(ii)
Subtracting (i) from (ii)
90x = 42
x = 42/90 = 21/45

Answered by Sneha shidid | 24th Jul, 2019, 09:56: AM