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Convert the mixed fractions to improper fractions and then divide the fractions (by turning the divisor upside down and multiplying), converting any improper fraction result back into a mixed fraction:
1277/24 ÷ 601/2 = 127x24+7/24 ÷ 60x2+1/2
= 3055/24 ÷ 121/2
= 3055/24 x 2/121
= 3055/1452
= 2x1452+151/1452
= 2151/1452
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