Add 84/28 and 20/45
1st number: 3 0/28, 2nd number: 20/45
84/28 + 20/45 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
84/28 = 84 × 45/28 × 45 = 3780/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
20/45 = 20 × 28/45 × 28 = 560/1260 - Add the two like fractions:
3780/1260 + 560/1260 = 3780 + 560/1260 = 4340/1260 - 4340/1260 simplified gives 31/9
- So, 84/28 + 20/45 = 31/9
In mixed form: 34/9
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