Add 30/27 and 40/35
1st number: 1 3/27, 2nd number: 1 5/35
30/27 + 40/35 is 142/63.
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,
40/35 = 40 × 27/35 × 27 = 1080/945 - Add the two like fractions:
1050/945 + 1080/945 = 1050 + 1080/945 = 2130/945 - 2130/945 simplified gives 142/63
- So, 30/27 + 40/35 = 142/63
In mixed form: 216/63
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