Add 14/15 and 36/84
14/15 + 36/84 is 143/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
14/15 = 14 × 28/15 × 28 = 392/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
36/84 = 36 × 5/84 × 5 = 180/420 - Add the two like fractions:
392/420 + 180/420 = 392 + 180/420 = 572/420 - 572/420 simplified gives 143/105
- So, 14/15 + 36/84 = 143/105
In mixed form: 138/105
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