Add 30/45 and 2/27
30/45 + 2/27 is 20/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 45 × 3 = 135,
30/45 = 30 × 3/45 × 3 = 90/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
2/27 = 2 × 5/27 × 5 = 10/135 - Add the two like fractions:
90/135 + 10/135 = 90 + 10/135 = 100/135 - 100/135 simplified gives 20/27
- So, 30/45 + 2/27 = 20/27
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