Answer:
[tex]\large\boxed{0.334444...=\dfrac{301}{900}}[/tex]
Step-by-step explanation:
[tex]x=0.334444...\qquad\text{multiply both sides by 100}\\\\100x=33.4444...\qquad\text{multiply both sides by 10}\\\\1000x=334.4444...\qquad\text{subtract}\ 100x\ \text{from}\ 1000x\\\\1000x-100x=334.4444...-33.4444...\\\\900x=301\qquad\text{divide both sides by 900}\\\\x=\dfrac{301}{900}[/tex]
Answer:
301/900.
Step-by-step explanation:
0.33 = 33/100
44.44444,, = 44/99
So 0.004444...
= 44/9900
33/100 + 44/9900
301/900
