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
Answers
Answer:
2.185185
Step-by-step explanation:
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.
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.