Add 7/84 and 70/27
1st number: 7/84, 2nd number: 2 16/27
7/84 + 70/27 is 289/108.
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,
7/84 = 7 × 9/84 × 9 = 63/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
70/27 = 70 × 28/27 × 28 = 1960/756 - Add the two like fractions:
63/756 + 1960/756 = 63 + 1960/756 = 2023/756 - 2023/756 simplified gives 289/108
- So, 7/84 + 70/27 = 289/108
In mixed form: 273/108
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