Add 8/27 and 45/60
8/27 + 45/60 is 113/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 60 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
8/27 = 8 × 20/27 × 20 = 160/540 - Likewise, for the 2nd fraction, since 60 × 9 = 540,
45/60 = 45 × 9/60 × 9 = 405/540 - Add the two like fractions:
160/540 + 405/540 = 160 + 405/540 = 565/540 - 565/540 simplified gives 113/108
- So, 8/27 + 45/60 = 113/108
In mixed form: 15/108
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