Add 49/50 and 21/90
49/50 + 21/90 is 91/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 50 × 9 = 450,
49/50 = 49 × 9/50 × 9 = 441/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
21/90 = 21 × 5/90 × 5 = 105/450 - Add the two like fractions:
441/450 + 105/450 = 441 + 105/450 = 546/450 - 546/450 simplified gives 91/75
- So, 49/50 + 21/90 = 91/75
In mixed form: 116/75
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