Add 49/27 and 14/30
1st number: 1 22/27, 2nd number: 14/30
49/27 + 14/30 is 308/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
49/27 = 49 × 10/27 × 10 = 490/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
14/30 = 14 × 9/30 × 9 = 126/270 - Add the two like fractions:
490/270 + 126/270 = 490 + 126/270 = 616/270 - 616/270 simplified gives 308/135
- So, 49/27 + 14/30 = 308/135
In mixed form: 238/135
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