Add 35/60 and 21/27
35/60 + 21/27 is 49/36.
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,
35/60 = 35 × 9/60 × 9 = 315/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
21/27 = 21 × 20/27 × 20 = 420/540 - Add the two like fractions:
315/540 + 420/540 = 315 + 420/540 = 735/540 - 735/540 simplified gives 49/36
- So, 35/60 + 21/27 = 49/36
In mixed form: 113/36
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