Add 96/45 and 21/84, Solve 2 6/45 + 21/84 as a fraction

Add 96/45 and 21/84

1^st number: 2 6/45, 2^nd number: 21/84

96/45 + 21/84 is 143/60.

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,
21/84 = 21 × 15/84 × 15 = 315/1260
Add the two like fractions:
2688/1260 + 315/1260 = 2688 + 315/1260 = 3003/1260
3003/1260 simplified gives 143/60
So, 96/45 + 21/84 = 143/60
In mixed form: 223/60

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