Add 30/98 and 49/40
1st number: 30/98, 2nd number: 1 9/40
30/98 + 49/40 is 3001/1960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
30/98 = 30 × 20/98 × 20 = 600/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
49/40 = 49 × 49/40 × 49 = 2401/1960 - Add the two like fractions:
600/1960 + 2401/1960 = 600 + 2401/1960 = 3001/1960 - So, 30/98 + 49/40 = 3001/1960
In mixed form: 11041/1960
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