Add 35/27 and 40/35
1st number: 1 8/27, 2nd number: 1 5/35
35/27 + 40/35 is 461/189.
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,
35/27 = 35 × 35/27 × 35 = 1225/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
40/35 = 40 × 27/35 × 27 = 1080/945 - Add the two like fractions:
1225/945 + 1080/945 = 1225 + 1080/945 = 2305/945 - 2305/945 simplified gives 461/189
- So, 35/27 + 40/35 = 461/189
In mixed form: 283/189
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