Add 20/84 and 36/45
20/84 + 36/45 is 109/105.
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,
20/84 = 20 × 15/84 × 15 = 300/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
36/45 = 36 × 28/45 × 28 = 1008/1260 - Add the two like fractions:
300/1260 + 1008/1260 = 300 + 1008/1260 = 1308/1260 - 1308/1260 simplified gives 109/105
- So, 20/84 + 36/45 = 109/105
In mixed form: 14/105
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