Find the least common denominator. Multiply each fraction by whatever will make it the LCD.
Example: 1/30 and 1/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCD
30 x 7 = 210
42 x 5 = 210
1/30 x 7/7 = 7/210
1/42 x 5/5 = 5/210
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You can change similar fractions to dissimilar ones by multiplying one of them to its equivalent. Example: 1/3 and 2/3 are similar.
2/3 = 4/6
1/3 and 4/6 are dissimilar.
Most people want to go the other way; dissimilar to similar. In that case...
Find the least common denominator. Multiply each fraction by whatever will make it the LCD.
Example: 1/30 and 1/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCD
30 x 7 = 210
42 x 5 = 210
1/30 = 7/210
1/42 = 5/210