Add 72/27 and 49/84
1st number: 2 18/27, 2nd number: 49/84
72/27 + 49/84 is 13/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
72/27 = 72 × 28/27 × 28 = 2016/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
49/84 = 49 × 9/84 × 9 = 441/756 - Add the two like fractions:
2016/756 + 441/756 = 2016 + 441/756 = 2457/756 - 2457/756 simplified gives 13/4
- So, 72/27 + 49/84 = 13/4
In mixed form: 31/4
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