Add 45/60 and 20/27
45/60 + 20/27 is 161/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 60 × 9 = 540,
45/60 = 45 × 9/60 × 9 = 405/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
20/27 = 20 × 20/27 × 20 = 400/540 - Add the two like fractions:
405/540 + 400/540 = 405 + 400/540 = 805/540 - 805/540 simplified gives 161/108
- So, 45/60 + 20/27 = 161/108
In mixed form: 153/108
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