Add 35/10 and 27/84
1st number: 3 5/10, 2nd number: 27/84
35/10 + 27/84 is 107/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
35/10 = 35 × 42/10 × 42 = 1470/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Add the two like fractions:
1470/420 + 135/420 = 1470 + 135/420 = 1605/420 - 1605/420 simplified gives 107/28
- So, 35/10 + 27/84 = 107/28
In mixed form: 323/28
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