Add 36/84 and 28/30
36/84 + 28/30 is 143/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
36/84 = 36 × 5/84 × 5 = 180/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
28/30 = 28 × 14/30 × 14 = 392/420 - Add the two like fractions:
180/420 + 392/420 = 180 + 392/420 = 572/420 - 572/420 simplified gives 143/105
- So, 36/84 + 28/30 = 143/105
In mixed form: 138/105
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