Add 75/30 and 40/98
1st number: 2 15/30, 2nd number: 40/98
75/30 + 40/98 is 285/98.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 98 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 98 × 15 = 1470,
40/98 = 40 × 15/98 × 15 = 600/1470 - Add the two like fractions:
3675/1470 + 600/1470 = 3675 + 600/1470 = 4275/1470 - 4275/1470 simplified gives 285/98
- So, 75/30 + 40/98 = 285/98
In mixed form: 289/98
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