Add 30/84 and 98/27
1st number: 30/84, 2nd number: 3 17/27
30/84 + 98/27 is 1507/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
98/27 = 98 × 28/27 × 28 = 2744/756 - Add the two like fractions:
270/756 + 2744/756 = 270 + 2744/756 = 3014/756 - 3014/756 simplified gives 1507/378
- So, 30/84 + 98/27 = 1507/378
In mixed form: 3373/378
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