Add 49/75 and 14/18
49/75 + 14/18 is 322/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 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 18 × 25 = 450,
14/18 = 14 × 25/18 × 25 = 350/450 - Add the two like fractions:
294/450 + 350/450 = 294 + 350/450 = 644/450 - 644/450 simplified gives 322/225
- So, 49/75 + 14/18 = 322/225
In mixed form: 197/225
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