[tex]1.7\overline{29}[/tex] in p/q form is 856/495
Given:
- [tex]1.7\overline{29}[/tex]
- 1.729 ( bar on 29)
To Find:
Solution:
Step 1:
Assume that N = [tex]1.7\overline{29}[/tex]
Step 2:
Multiply N by 10 and 1000 and create 2 Equations
10N = [tex]17.\overline{29}[/tex] Eq1
1000N = [tex]1729.\overline{29}[/tex] Eq2
Step 3:
Subtract Eq1 from Eq2 and simplify
990N = 1712
N = 1712/990
N = 856/495
Hence [tex]1.7\overline{29}[/tex] in p/q form is 856/495