Add 35/30 and 64/49
1st number: 1 5/30, 2nd number: 1 15/49
35/30 + 64/49 is 727/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
35/30 = 35 × 49/30 × 49 = 1715/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
64/49 = 64 × 30/49 × 30 = 1920/1470 - Add the two like fractions:
1715/1470 + 1920/1470 = 1715 + 1920/1470 = 3635/1470 - 3635/1470 simplified gives 727/294
- So, 35/30 + 64/49 = 727/294
In mixed form: 2139/294
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