Add 30/27 and 49/35
1st number: 1 3/27, 2nd number: 1 14/35
30/27 + 49/35 is 113/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
30/27 = 30 × 35/27 × 35 = 1050/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
49/35 = 49 × 27/35 × 27 = 1323/945 - Add the two like fractions:
1050/945 + 1323/945 = 1050 + 1323/945 = 2373/945 - 2373/945 simplified gives 113/45
- So, 30/27 + 49/35 = 113/45
In mixed form: 223/45
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