1+1/2+1/4+1/7+1/14+1/28=?
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1 + 1/2 + 1/4 + 1/7 + 1/14 + 1/28 =
1 + (14 × 1)/(14 × 2) + (7 × 1)/(7 × 4) + (4 × 1)/(4 × 7) + (2 × 1)/(2 × 14) + (1 × 1)/(1 × 28) =
1 + 14/28 + 7/28 + 4/28 + 2/28 + 1/28 =
1 + (14 + 7 + 4 + 2 + 1)/28 =
1 + 28/28
Reduce (simplify) fraction to its lowest terms equivalent:
28/28 =
(28 ÷ 28)/(28 ÷ 28) =
1/1 =
1
1 + (14 × 1)/(14 × 2) + (7 × 1)/(7 × 4) + (4 × 1)/(4 × 7) + (2 × 1)/(2 × 14) + (1 × 1)/(1 × 28) =
1 + 14/28 + 7/28 + 4/28 + 2/28 + 1/28 =
1 + (14 + 7 + 4 + 2 + 1)/28 =
1 + 28/28
Reduce (simplify) fraction to its lowest terms equivalent:
28/28 =
(28 ÷ 28)/(28 ÷ 28) =
1/1 =
1
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