Add 28/49 and 42/90
28/49 + 42/90 is 109/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 90 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 49 × 90 = 4410,
28/49 = 28 × 90/49 × 90 = 2520/4410 - Likewise, for the 2nd fraction, since 90 × 49 = 4410,
42/90 = 42 × 49/90 × 49 = 2058/4410 - Add the two like fractions:
2520/4410 + 2058/4410 = 2520 + 2058/4410 = 4578/4410 - 4578/4410 simplified gives 109/105
- So, 28/49 + 42/90 = 109/105
In mixed form: 14/105
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