Add 28/45 and 14/21
28/45 + 14/21 is 58/45.
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,
28/45 = 28 × 7/45 × 7 = 196/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
14/21 = 14 × 15/21 × 15 = 210/315 - Add the two like fractions:
196/315 + 210/315 = 196 + 210/315 = 406/315 - 406/315 simplified gives 58/45
- So, 28/45 + 14/21 = 58/45
In mixed form: 113/45
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