Add 21/30 and 18/27
21/30 + 18/27 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
21/30 = 21 × 9/30 × 9 = 189/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
18/27 = 18 × 10/27 × 10 = 180/270 - Add the two like fractions:
189/270 + 180/270 = 189 + 180/270 = 369/270 - 369/270 simplified gives 41/30
- So, 21/30 + 18/27 = 41/30
In mixed form: 111/30
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