Add 2/21 and 12/45
2/21 + 12/45 is 38/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
2/21 = 2 × 15/21 × 15 = 30/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
12/45 = 12 × 7/45 × 7 = 84/315 - Add the two like fractions:
30/315 + 84/315 = 30 + 84/315 = 114/315 - 114/315 simplified gives 38/105
- So, 2/21 + 12/45 = 38/105
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