Add 36/45 and 5/21
36/45 + 5/21 is 109/105.
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,
5/21 = 5 × 15/21 × 15 = 75/315 - Add the two like fractions:
252/315 + 75/315 = 252 + 75/315 = 327/315 - 327/315 simplified gives 109/105
- So, 36/45 + 5/21 = 109/105
In mixed form: 14/105
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