Add 36/45 and 14/21
36/45 + 14/21 is 22/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
36/45 = 36 × 7/45 × 7 = 252/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
14/21 = 14 × 15/21 × 15 = 210/315 - Add the two like fractions:
252/315 + 210/315 = 252 + 210/315 = 462/315 - 462/315 simplified gives 22/15
- So, 36/45 + 14/21 = 22/15
In mixed form: 17/15
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