Add 2/27 and 42/35
1st number: 2/27, 2nd number: 1 7/35
2/27 + 42/35 is 172/135.
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,
2/27 = 2 × 35/27 × 35 = 70/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
42/35 = 42 × 27/35 × 27 = 1134/945 - Add the two like fractions:
70/945 + 1134/945 = 70 + 1134/945 = 1204/945 - 1204/945 simplified gives 172/135
- So, 2/27 + 42/35 = 172/135
In mixed form: 137/135
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