CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Find the pq form of 0.666... is
Where p,qZ and q0.

A
23
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
26
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 23
Let x=0.666... ------------ (1)

Multiply by 10 both sides we get,
10x=6.666... ------------ (2)

Subtracting the two equations
10xx=6.666...0.666...
9x=6
Dividing by 9 on both the sides we get,
9x9=69

x=2×33×3 -----(3)

x=23

Answer: Hence pq form of 0.666... is 23

flag
Suggest Corrections
thumbs-up
20
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Converting Non - Terminating and Repeating Decimals to Fractions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon