Add 10/75 and 49/27
1st number: 10/75, 2nd number: 1 22/27
10/75 + 49/27 is 263/135.
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,
10/75 = 10 × 9/75 × 9 = 90/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
49/27 = 49 × 25/27 × 25 = 1225/675 - Add the two like fractions:
90/675 + 1225/675 = 90 + 1225/675 = 1315/675 - 1315/675 simplified gives 263/135
- So, 10/75 + 49/27 = 263/135
In mixed form: 1128/135
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