Choose the SIMPLIFIED fraction that accurately represents the repeating decimal. (Each of these)
1 answer:
Answer:
1) 1/3
2) 45/99
3) 35/99
4) 24/99
5) 39/99
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
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Step-by-step explanation:
1.
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