Add 96/45 and 28/84
1st number: 2 6/45, 2nd number: 28/84
96/45 + 28/84 is 37/15.
Steps for adding fractions
- 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,
28/84 = 28 × 15/84 × 15 = 420/1260 - Add the two like fractions:
2688/1260 + 420/1260 = 2688 + 420/1260 = 3108/1260 - 3108/1260 simplified gives 37/15
- So, 96/45 + 28/84 = 37/15
In mixed form: 27/15
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