Add 30/20 and 45/27
1st number: 1 10/20, 2nd number: 1 18/27
30/20 + 45/27 is 19/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
30/20 = 30 × 27/20 × 27 = 810/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
45/27 = 45 × 20/27 × 20 = 900/540 - Add the two like fractions:
810/540 + 900/540 = 810 + 900/540 = 1710/540 - 1710/540 simplified gives 19/6
- So, 30/20 + 45/27 = 19/6
In mixed form: 31/6
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