Add 75/30 and 42/49
1st number: 2 15/30, 2nd number: 42/49
75/30 + 42/49 is 47/14.
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,
75/30 = 75 × 49/30 × 49 = 3675/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
42/49 = 42 × 30/49 × 30 = 1260/1470 - Add the two like fractions:
3675/1470 + 1260/1470 = 3675 + 1260/1470 = 4935/1470 - 4935/1470 simplified gives 47/14
- So, 75/30 + 42/49 = 47/14
In mixed form: 35/14
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