Add 30/60 and 84/49
1st number: 30/60, 2nd number: 1 35/49
30/60 + 84/49 is 31/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 49 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 60 × 49 = 2940,
30/60 = 30 × 49/60 × 49 = 1470/2940 - Likewise, for the 2nd fraction, since 49 × 60 = 2940,
84/49 = 84 × 60/49 × 60 = 5040/2940 - Add the two like fractions:
1470/2940 + 5040/2940 = 1470 + 5040/2940 = 6510/2940 - 6510/2940 simplified gives 31/14
- So, 30/60 + 84/49 = 31/14
In mixed form: 23/14
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