Add 14/75 and 24/27
14/75 + 24/27 is 242/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
14/75 = 14 × 9/75 × 9 = 126/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
24/27 = 24 × 25/27 × 25 = 600/675 - Add the two like fractions:
126/675 + 600/675 = 126 + 600/675 = 726/675 - 726/675 simplified gives 242/225
- So, 14/75 + 24/27 = 242/225
In mixed form: 117/225
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