Add 10/84 and 98/27
1st number: 10/84, 2nd number: 3 17/27
10/84 + 98/27 is 1417/378.
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,
10/84 = 10 × 9/84 × 9 = 90/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
98/27 = 98 × 28/27 × 28 = 2744/756 - Add the two like fractions:
90/756 + 2744/756 = 90 + 2744/756 = 2834/756 - 2834/756 simplified gives 1417/378
- So, 10/84 + 98/27 = 1417/378
In mixed form: 3283/378
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