Add 45/60 and 30/81
45/60 + 30/81 is 121/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 81 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 60 × 27 = 1620,
45/60 = 45 × 27/60 × 27 = 1215/1620 - Likewise, for the 2nd fraction, since 81 × 20 = 1620,
30/81 = 30 × 20/81 × 20 = 600/1620 - Add the two like fractions:
1215/1620 + 600/1620 = 1215 + 600/1620 = 1815/1620 - 1815/1620 simplified gives 121/108
- So, 45/60 + 30/81 = 121/108
In mixed form: 113/108
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