Add 28/84 and 40/45
28/84 + 40/45 is 11/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
28/84 = 28 × 15/84 × 15 = 420/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Add the two like fractions:
420/1260 + 1120/1260 = 420 + 1120/1260 = 1540/1260 - 1540/1260 simplified gives 11/9
- So, 28/84 + 40/45 = 11/9
In mixed form: 12/9
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