Add 42/27 and 21/35
1st number: 1 15/27, 2nd number: 21/35
42/27 + 21/35 is 97/45.
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,
42/27 = 42 × 35/27 × 35 = 1470/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
21/35 = 21 × 27/35 × 27 = 567/945 - Add the two like fractions:
1470/945 + 567/945 = 1470 + 567/945 = 2037/945 - 2037/945 simplified gives 97/45
- So, 42/27 + 21/35 = 97/45
In mixed form: 27/45
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