Question

Choose the SIMPLIFIED fraction that accurately represents the repeating decimal. (Each of these)

1. 0.333
2.0.454545
3.0.353535
4.242424
5.0.393939

Answer 1

1) 1/3

2) 45/99

3) 35/99

4) 24/99

5) 39/99

Step-by-step explanation:

1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3

2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99

3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99

4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99

5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99