Add 28/84 and 35/45
28/84 + 35/45 is 10/9.
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,
35/45 = 35 × 28/45 × 28 = 980/1260 - Add the two like fractions:
420/1260 + 980/1260 = 420 + 980/1260 = 1400/1260 - 1400/1260 simplified gives 10/9
- So, 28/84 + 35/45 = 10/9
In mixed form: 11/9
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