Add 30/14 and 54/49
1st number: 2 2/14, 2nd number: 1 5/49
30/14 + 54/49 is 159/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
30/14 = 30 × 7/14 × 7 = 210/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
54/49 = 54 × 2/49 × 2 = 108/98 - Add the two like fractions:
210/98 + 108/98 = 210 + 108/98 = 318/98 - 318/98 simplified gives 159/49
- So, 30/14 + 54/49 = 159/49
In mixed form: 312/49
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