Question

Express the mixed recurring decimal 4.32bar in the form of p/q

Answer 1

Step-by-step explanation:

432-4/99=428/99.

I hope it helps you

Answer 2

AnswEr:

$\qquad \sf Let \: x = 4.3 \bar2 \\ \\ \\ \implies \sf \: 10x = 43. \bar2 \qquad \: (multiplying \: both \: sides \: \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: of \: x \: by \: 10) \\ \\ \\ \implies \sf10x = 43 + 0. \bar2 \\ \\ \\ \implies \sf \: 10x = 43 + \frac{2}{9} \\ \\ \\ \implies \sf \: 10x = \frac{43 \times 9 + 2}{9} \\ \\ \\ \implies \sf \: 10x = \frac{387 + 2}{9} \\ \\ \\ \implies \sf \: 10x = \frac{389}{9} \\ \\ \\ \implies \sf \blue{x = \frac{389}{90} }$