Add 98/45 and 42/49
1st number: 2 8/45, 2nd number: 42/49
98/45 + 42/49 is 956/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
98/45 = 98 × 49/45 × 49 = 4802/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
42/49 = 42 × 45/49 × 45 = 1890/2205 - Add the two like fractions:
4802/2205 + 1890/2205 = 4802 + 1890/2205 = 6692/2205 - 6692/2205 simplified gives 956/315
- So, 98/45 + 42/49 = 956/315
In mixed form: 311/315
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