Add 1/27 and 42/35
1st number: 1/27, 2nd number: 1 7/35
1/27 + 42/35 is 167/135.
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,
1/27 = 1 × 35/27 × 35 = 35/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
42/35 = 42 × 27/35 × 27 = 1134/945 - Add the two like fractions:
35/945 + 1134/945 = 35 + 1134/945 = 1169/945 - 1169/945 simplified gives 167/135
- So, 1/27 + 42/35 = 167/135
In mixed form: 132/135
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