Add 30/90 and 84/27
1st number: 30/90, 2nd number: 3 3/27
30/90 + 84/27 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 90 × 3 = 270,
30/90 = 30 × 3/90 × 3 = 90/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
84/27 = 84 × 10/27 × 10 = 840/270 - Add the two like fractions:
90/270 + 840/270 = 90 + 840/270 = 930/270 - 930/270 simplified gives 31/9
- So, 30/90 + 84/27 = 31/9
In mixed form: 34/9
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