Question

Express the rational number 1/27 in recurring decimal form by using the recurring decimal expansion of 1/3. Hence, Write 59/27 in recurring decimal form

Answer 1

Answer:2.185185

Step-by-step explanation:First you should know that 1/3=0.3333

now to the sum,

we know that 1/3=0.3recurring

∴1/27=1/9*1/3=1/9*0.333....=0.037037...=0.037recurring

also,59/27=2 5/27=2+5/27(2 is a whole number 2 5/27 is a mixed fraction)

       =2+(5*1/27)

we know that 1/27=0.037recurring

=2+(5*0.037recurring)=2+(5*0.037037037...)=2+0.185185...=2.185185....

∴=2.185recurring

Hope you understood and please comment if you don't understand.

Answer 2

Answer:

ans is 2.185 recurring hope this may help you