Add 10/30 and 21/27
10/30 + 21/27 is 10/9.
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,
10/30 = 10 × 9/30 × 9 = 90/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
21/27 = 21 × 10/27 × 10 = 210/270 - Add the two like fractions:
90/270 + 210/270 = 90 + 210/270 = 300/270 - 300/270 simplified gives 10/9
- So, 10/30 + 21/27 = 10/9
In mixed form: 11/9
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