Add 30/75 and 98/49
1st number: 30/75, 2nd number: 2 0/49
30/75 + 98/49 is 12/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
30/75 = 30 × 49/75 × 49 = 1470/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
98/49 = 98 × 75/49 × 75 = 7350/3675 - Add the two like fractions:
1470/3675 + 7350/3675 = 1470 + 7350/3675 = 8820/3675 - 8820/3675 simplified gives 12/5
- So, 30/75 + 98/49 = 12/5
In mixed form: 22/5
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