Add 27/84 and 98/35
1st number: 27/84, 2nd number: 2 28/35
27/84 + 98/35 is 437/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
98/35 = 98 × 12/35 × 12 = 1176/420 - Add the two like fractions:
135/420 + 1176/420 = 135 + 1176/420 = 1311/420 - 1311/420 simplified gives 437/140
- So, 27/84 + 98/35 = 437/140
In mixed form: 317/140
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