Add 42/30 and 96/49
1st number: 1 12/30, 2nd number: 1 47/49
42/30 + 96/49 is 823/245.
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,
42/30 = 42 × 49/30 × 49 = 2058/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
96/49 = 96 × 30/49 × 30 = 2880/1470 - Add the two like fractions:
2058/1470 + 2880/1470 = 2058 + 2880/1470 = 4938/1470 - 4938/1470 simplified gives 823/245
- So, 42/30 + 96/49 = 823/245
In mixed form: 388/245
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