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Solution 1.2:2c

From Förberedande kurs i matematik 1

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We divide up the two numerators into the smallest possible integer factors,

1214=26=223=27.

The expression can thus be written as

1223127.

Here, we see that the denominators have a factor 2 in common. We multiply the top and bottom of the first fraction by 7 and the second by 23 i.e. we leave out the common factor 2, so that the fractions have the lowest common denominator 2237,

112114=1223127=1223771272323=72237232237=784684.

The lowest common denominator is 84.