Add 49/75 and 56/90
49/75 + 56/90 is 287/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
49/75 = 49 × 6/75 × 6 = 294/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
56/90 = 56 × 5/90 × 5 = 280/450 - Add the two like fractions:
294/450 + 280/450 = 294 + 280/450 = 574/450 - 574/450 simplified gives 287/225
- So, 49/75 + 56/90 = 287/225
In mixed form: 162/225
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