Add 96/45 and 14/84, Solve 2 6/45 + 14/84 as a fraction

Add 96/45 and 14/84

1^st number: 2 6/45, 2^nd number: 14/84

96/45 + 14/84 is 23/10.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 45 × 28 = 1260,
96/45 = 96 × 28/45 × 28 = 2688/1260
Likewise, for the 2nd fraction, since 84 × 15 = 1260,
14/84 = 14 × 15/84 × 15 = 210/1260
Add the two like fractions:
2688/1260 + 210/1260 = 2688 + 210/1260 = 2898/1260
2898/1260 simplified gives 23/10
So, 96/45 + 14/84 = 23/10
In mixed form: 23/10

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