express 3.426 bar (426 recurring)
in the form p/q
Answers
Answered by
1
Answer: 1141/333
Step-by-step explanation:
3.426426426426....... = 3 +0.426426426.....
consider y = 0.426426426.....
1000y = 426.426426426......
1000y - y = 426.426426426...... - 0.426426426.....
999y = 426
y = 426/999 = 142/333
y = 142/333
now put this value back in 3 + 0.426426426...
= 3 + 142/333
= (3*333 + 142)/333
= (999 +142)/333
= 1141/333
Similar questions