Question

Express as 0.454545.... as a fraction in the simplest form.

Answer 1

Step-by-step explanation:

Let p/q = 0.45 bar [Equation 1]

Multiply by 100 from both sides

100 × p/q = 0.45 bar × 100

100p/q = 45.45 bar [Equation 2]

Subtract equation 2 by 1

100p/q = 45.45 bar [Equation 2]

(-) 1p/q = 0.45 bar [Equation 1]

99p/q = 45.0

p/q = 45/99

Therefore, p/q = 5/11 [Fraction in simplest form].