Add 35/98 and 45/16
1st number: 35/98, 2nd number: 2 13/16
35/98 + 45/16 is 355/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 98 × 8 = 784,
35/98 = 35 × 8/98 × 8 = 280/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
45/16 = 45 × 49/16 × 49 = 2205/784 - Add the two like fractions:
280/784 + 2205/784 = 280 + 2205/784 = 2485/784 - 2485/784 simplified gives 355/112
- So, 35/98 + 45/16 = 355/112
In mixed form: 319/112
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