Express 0.36 in p by Q form.
iHelper:
Is that 0.36 bar or simply 0.36?
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Hello!
Let x = 0.36363636... ---(i)
✓ Multiply both sides by 100 :
100 × x = 100 × 0.363636...
100x = 36.363636... ---(ii)
✓ Subtract eqn. (i) from eqn. (ii) :
100x - x = 36.363636... - 0.363636...
⇒ 99x = 36
⇒ x = 36 / 99
⇒ x = 12/33 ⇒ x = 4 / 11
Cheers!
Let x = 0.36363636... ---(i)
✓ Multiply both sides by 100 :
100 × x = 100 × 0.363636...
100x = 36.363636... ---(ii)
✓ Subtract eqn. (i) from eqn. (ii) :
100x - x = 36.363636... - 0.363636...
⇒ 99x = 36
⇒ x = 36 / 99
⇒ x = 12/33 ⇒ x = 4 / 11
Cheers!
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